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5245293024 = 25356531033
BaseRepresentation
bin1001110001010010…
…01101000111100000
3111112112221111100000
410320221031013200
541220243334044
62224252500000
7243661153326
oct47051150740
914475844300
105245293024
112251916314
12102477a600
136579139aa
1437a8b3d16
1520a75ad69
hex138a4d1e0

5245293024 has 144 divisors (see below), whose sum is σ = 15507443952. Its totient is φ = 1744063488.

The previous prime is 5245293023. The next prime is 5245293047. The reversal of 5245293024 is 4203925425.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5245293024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5245293023) 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, 5077212 + ... + 5078244.

It is an arithmetic number, because the mean of its divisors is an integer number (107690583).

Almost surely, 25245293024 is an apocalyptic number.

5245293024 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5245293024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7753721976).

5245293024 is an abundant number, since it is smaller than the sum of its proper divisors (10262150928).

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

5245293024 is a wasteful number, since it uses less digits than its factorization.

5245293024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5245293024 is about 72424.3952270228. The cubic root of 5245293024 is about 1737.4937520884.

The spelling of 5245293024 in words is "five billion, two hundred forty-five million, two hundred ninety-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 653 864 972 1033 1296 1306 1944 1959 2066 2592 2612 3099 3888 3918 4132 5224 5877 6198 7776 7836 8264 9297 10448 11754 12396 15672 16528 17631 18594 20896 23508 24792 27891 31344 33056 35262 37188 47016 49584 52893 55782 62688 70524 74376 83673 94032 99168 105786 111564 141048 148752 158679 167346 188064 211572 223128 251019 282096 297504 317358 334692 423144 446256 502038 564192 634716 669384 674549 846288 892512 1004076 1269432 1338768 1349098 1692576 2008152 2023647 2538864 2677536 2698196 4016304 4047294 5077728 5396392 6070941 8032608 8094588 10792784 12141882 16189176 18212823 21585568 24283764 32378352 36425646 48567528 54638469 64756704 72851292 97135056 109276938 145702584 163915407 194270112 218553876 291405168 327830814 437107752 582810336 655661628 874215504 1311323256 1748431008 2622646512 5245293024