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868033432 = 237223432239
BaseRepresentation
bin110011101111010…
…010001110011000
32020111100200000101
4303233102032120
53234204032212
6222044545144
730340106500
oct6357221630
92214320011
10868033432
11405a89402
122028521b4
1310aab3566
14833d8a00
1551315157
hex33bd2398

868033432 has 96 divisors (see below), whose sum is σ = 2022451200. Its totient is φ = 347409216.

The previous prime is 868033403. The next prime is 868033451. The reversal of 868033432 is 234330868.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 868033391 and 868033400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386569 + ... + 388807.

It is an arithmetic number, because the mean of its divisors is an integer number (21067200).

Almost surely, 2868033432 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 868033432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011225600).

868033432 is an abundant number, since it is smaller than the sum of its proper divisors (1154417768).

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

868033432 is a wasteful number, since it uses less digits than its factorization.

868033432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 868033432 is about 29462.4070978595. The cubic root of 868033432 is about 953.9204313445.

The spelling of 868033432 in words is "eight hundred sixty-eight million, thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 23 28 43 46 49 56 86 92 98 161 172 184 196 301 322 344 392 602 644 989 1127 1204 1288 1978 2107 2239 2254 2408 3956 4214 4478 4508 6923 7912 8428 8956 9016 13846 15673 16856 17912 27692 31346 48461 51497 55384 62692 96277 96922 102994 109711 125384 192554 193844 205988 219422 360479 385108 387688 411976 438844 673939 720958 770216 877688 1347878 1441916 2214371 2523353 2695756 2883832 4428742 4717573 5046706 5391512 8857484 9435146 10093412 15500597 17714968 18870292 20186824 31001194 37740584 62002388 108504179 124004776 217008358 434016716 868033432