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896703552 = 26321997823
BaseRepresentation
bin110101011100101…
…001110001000000
32022111022021000200
4311130221301000
53314024003202
6224551245200
731135566033
oct6534516100
92274267020
10896703552
11420190718
12210379800
13113a11124
148713d01a
1553ac9e1c
hex35729c40

896703552 has 84 divisors (see below), whose sum is σ = 2583484800. Its totient is φ = 297361152.

The previous prime is 896703541. The next prime is 896703557. The reversal of 896703552 is 255307698.

It is a happy number.

896703552 is a `hidden beast` number, since 8 + 96 + 7 + 0 + 3 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 896703498 and 896703507.

It is not an unprimeable number, because it can be changed into a prime (896703557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110713 + ... + 118535.

Almost surely, 2896703552 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 896703552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291742400).

896703552 is an abundant number, since it is smaller than the sum of its proper divisors (1686781248).

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

896703552 is a wasteful number, since it uses less digits than its factorization.

896703552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8040 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 896703552 is about 29945.0087994644. The cubic root of 896703552 is about 964.3091700726.

The spelling of 896703552 in words is "eight hundred ninety-six million, seven hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 199 288 398 576 597 796 1194 1592 1791 2388 3184 3582 4776 6368 7164 7823 9552 12736 14328 15646 19104 23469 28656 31292 38208 46938 57312 62584 70407 93876 114624 125168 140814 187752 250336 281628 375504 500672 563256 751008 1126512 1502016 1556777 2253024 3113554 4506048 4670331 6227108 9340662 12454216 14010993 18681324 24908432 28021986 37362648 49816864 56043972 74725296 99633728 112087944 149450592 224175888 298901184 448351776 896703552