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5293787040 = 253256195939
BaseRepresentation
bin1001110111000100…
…01100011110100000
3111122221012020121200
410323202030132200
541320202141130
62233144121200
7245120306313
oct47342143640
914587166550
105293787040
112277228613
121038a66200
13664992789
143830d897a
1520eb39760
hex13b88c7a0

5293787040 has 144 divisors (see below), whose sum is σ = 18097279200. Its totient is φ = 1409158656.

The previous prime is 5293787039. The next prime is 5293787047. The reversal of 5293787040 is 407873925.

5293787040 is a `hidden beast` number, since 529 + 3 + 7 + 87 + 0 + 40 = 666.

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).

It is not an unprimeable number, because it can be changed into a prime (5293787047) 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, 888391 + ... + 894329.

It is an arithmetic number, because the mean of its divisors is an integer number (125675550).

Almost surely, 25293787040 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 5293787040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9048639600).

5293787040 is an abundant number, since it is smaller than the sum of its proper divisors (12803492160).

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

5293787040 is a wasteful number, since it uses less digits than its factorization.

5293787040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6579 (or 6568 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 5293787040 is about 72758.4155957234. The cubic root of 5293787040 is about 1742.8318531798.

The spelling of 5293787040 in words is "five billion, two hundred ninety-three million, seven hundred eighty-seven thousand, forty".

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 96 120 144 160 180 240 288 360 480 619 720 1238 1440 1857 2476 3095 3714 4952 5571 5939 6190 7428 9285 9904 11142 11878 12380 14856 17817 18570 19808 22284 23756 24760 27855 29695 29712 35634 37140 44568 47512 49520 53451 55710 59390 59424 71268 74280 89085 89136 95024 99040 106902 111420 118780 142536 148560 178170 178272 190048 213804 222840 237560 267255 285072 297120 356340 427608 445680 475120 534510 570144 712680 855216 891360 950240 1069020 1425360 1710432 2138040 2850720 3676241 4276080 7352482 8552160 11028723 14704964 18381205 22057446 29409928 33086169 36762410 44114892 55143615 58819856 66172338 73524820 88229784 110287230 117639712 132344676 147049640 165430845 176459568 220574460 264689352 294099280 330861690 352919136 441148920 529378704 588198560 661723380 882297840 1058757408 1323446760 1764595680 2646893520 5293787040