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5247891360 = 2532516192251
BaseRepresentation
bin1001110001100110…
…00111011110100000
3111112201211111120200
410320303013132200
541221430010420
62224424305200
7244022224545
oct47063073640
914481744520
105247891360
1122533304a8
121025612200
1365831357a
1437ad8cbcc
1520aac0b90
hex138cc77a0

5247891360 has 144 divisors (see below), whose sum is σ = 17927451360. Its totient is φ = 1397952000.

The previous prime is 5247891331. The next prime is 5247891367. The reversal of 5247891360 is 631987425.

5247891360 is a `hidden beast` number, since 524 + 7 + 8 + 91 + 36 + 0 = 666.

5247891360 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

5247891360 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (5247891367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2330235 + ... + 2332485.

It is an arithmetic number, because the mean of its divisors is an integer number (124496190).

It is a 1-persistent number, because it is pandigital, but 2⋅5247891360 = 10495782720 is not.

Almost surely, 25247891360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5247891360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963725680).

5247891360 is an abundant number, since it is smaller than the sum of its proper divisors (12679560000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5247891360 is a wasteful number, since it uses less digits than its factorization.

5247891360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3891 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5247891360 is about 72442.3312711566. The cubic root of 5247891360 is about 1737.7806027494.

The spelling of 5247891360 in words is "five billion, two hundred forty-seven million, eight hundred ninety-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1619 2251 3238 4502 4857 6476 6753 8095 9004 9714 11255 12952 13506 14571 16190 18008 19428 20259 22510 24285 25904 27012 29142 32380 33765 36016 38856 40518 45020 48570 51808 54024 58284 64760 67530 72032 72855 77712 81036 90040 97140 101295 108048 116568 129520 135060 145710 155424 162072 180080 194280 202590 216096 233136 259040 270120 291420 324144 360160 388560 405180 466272 540240 582840 648288 777120 810360 1080480 1165680 1620720 2331360 3241440 3644369 7288738 10933107 14577476 18221845 21866214 29154952 32799321 36443690 43732428 54665535 58309904 65598642 72887380 87464856 109331070 116619808 131197284 145774760 163996605 174929712 218662140 262394568 291549520 327993210 349859424 437324280 524789136 583099040 655986420 874648560 1049578272 1311972840 1749297120 2623945680 5247891360