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5259936 = 2531117293
BaseRepresentation
bin10100000100001010100000
3100220020021110
4110010022200
52321304221
6304423320
762465043
oct24041240
910806243
105259936
112a72960
121917b40
1311221b6
149acc5a
156dd776
hex5042a0

5259936 has 96 divisors (see below), whose sum is σ = 16003008. Its totient is φ = 1495040.

The previous prime is 5259929. The next prime is 5259967. The reversal of 5259936 is 6399525.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 5259894 and 5259903.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17806 + ... + 18098.

It is an arithmetic number, because the mean of its divisors is an integer number (166698).

Almost surely, 25259936 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 5259936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8001504).

5259936 is an abundant number, since it is smaller than the sum of its proper divisors (10743072).

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

5259936 is a wasteful number, since it uses less digits than its factorization.

5259936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 326 counting only the distinct ones).

The product of its digits is 72900, while the sum is 39.

The square root of 5259936 is about 2293.4550355305. The cubic root of 5259936 is about 173.9109069593.

The spelling of 5259936 in words is "five million, two hundred fifty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 293 352 374 408 528 544 561 586 748 816 879 1056 1122 1172 1496 1632 1758 2244 2344 2992 3223 3516 4488 4688 4981 5984 6446 7032 8976 9376 9669 9962 12892 14064 14943 17952 19338 19924 25784 28128 29886 38676 39848 51568 54791 59772 77352 79696 103136 109582 119544 154704 159392 164373 219164 239088 309408 328746 438328 478176 657492 876656 1314984 1753312 2629968 5259936