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896076432 = 2434472313
BaseRepresentation
bin110101011010010…
…000101010010000
32022110010101210000
4311122100222100
53313343421212
6224530010000
731130344506
oct6532205220
92273111700
10896076432
1141a8a2539
12210116900
13113851854
1487018676
1553a041dc
hex35690a90

896076432 has 150 divisors (see below), whose sum is σ = 2658326198. Its totient is φ = 291403008.

The previous prime is 896076403. The next prime is 896076437. The reversal of 896076432 is 234670698.

896076432 is a `hidden beast` number, since 8 + 9 + 607 + 6 + 4 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 483824016 + 412252416 = 21996^2 + 20304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (896076437) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2862708 + ... + 2863020.

Almost surely, 2896076432 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 896076432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329163099).

896076432 is an abundant number, since it is smaller than the sum of its proper divisors (1762249766).

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

896076432 is a wasteful number, since it uses less digits than its factorization.

896076432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 896076432 is about 29934.5357739184. The cubic root of 896076432 is about 964.0843173897.

The spelling of 896076432 in words is "eight hundred ninety-six million, seventy-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 81 94 108 141 144 162 188 216 282 313 324 376 423 432 564 626 648 752 846 939 1128 1252 1269 1296 1692 1878 2209 2256 2504 2538 2817 3384 3756 3807 4418 5008 5076 5634 6627 6768 7512 7614 8451 8836 10152 11268 13254 14711 15024 15228 16902 17672 19881 20304 22536 25353 26508 29422 30456 33804 35344 39762 44133 45072 50706 53016 58844 59643 60912 67608 79524 88266 101412 106032 117688 119286 132399 135216 159048 176532 178929 202824 235376 238572 264798 318096 353064 357858 397197 405648 477144 529596 691417 706128 715716 794394 954288 1059192 1191591 1382834 1431432 1588788 2074251 2118384 2383182 2765668 2862864 3177576 4148502 4766364 5531336 6222753 6355152 8297004 9532728 11062672 12445506 16594008 18668259 19065456 24891012 33188016 37336518 49782024 56004777 74673036 99564048 112009554 149346072 224019108 298692144 448038216 896076432