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5256313524 = 223271113713841
BaseRepresentation
bin1001110010100110…
…01111101010110100
3111120022200101121200
410321103033222310
541231104013044
62225325012500
7244153633140
oct47123175264
914508611550
105256313524
112258063170
1210283b4130
13659ca1bb7
1437c142220
1520b6d6369
hex1394cfab4

5256313524 has 144 divisors (see below), whose sum is σ = 16687472256. Its totient is φ = 1355212800.

The previous prime is 5256313523. The next prime is 5256313549. The reversal of 5256313524 is 4253136525.

5256313524 is a `hidden beast` number, since 52 + 56 + 31 + 3 + 524 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5256313523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372844 + ... + 386684.

It is an arithmetic number, because the mean of its divisors is an integer number (115885224).

Almost surely, 25256313524 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 5256313524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8343736128).

5256313524 is an abundant number, since it is smaller than the sum of its proper divisors (11431158732).

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

5256313524 is a wasteful number, since it uses less digits than its factorization.

5256313524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14006 (or 14001 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 5256313524 is about 72500.4380952281. The cubic root of 5256313524 is about 1738.7097410554.

The spelling of 5256313524 in words is "five billion, two hundred fifty-six million, three hundred thirteen thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 137 154 198 231 252 274 308 396 411 462 548 693 822 924 959 1233 1386 1507 1644 1918 2466 2772 2877 3014 3836 4521 4932 5754 6028 8631 9042 10549 11508 13563 13841 17262 18084 21098 27126 27682 31647 34524 41523 42196 54252 55364 63294 83046 94941 96887 124569 126588 152251 166092 189882 193774 249138 290661 304502 379764 387548 456753 498276 581322 609004 871983 913506 1065757 1162644 1370259 1743966 1827012 1896217 2131514 2740518 3197271 3487932 3792434 4263028 5481036 5688651 6394542 7584868 9591813 11377302 12789084 13273519 17065953 19183626 20858387 22754604 26547038 34131906 38367252 39820557 41716774 53094076 62575161 68263812 79641114 83433548 119461671 125150322 146008709 159282228 187725483 238923342 250300644 292017418 375450966 438026127 477846684 584034836 750901932 876052254 1314078381 1752104508 2628156762 5256313524