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896156352 = 263371341139
BaseRepresentation
bin110101011010100…
…100001011000000
32022110021110102000
4311122210023000
53313404000402
6224531424000
731131126510
oct6532441300
92273243360
10896156352
1141a947593
12210155000
1311387c040
1487039840
1553a1cc1c
hex356a42c0

896156352 has 448 divisors, whose sum is σ = 3345484800. Its totient is φ = 228925440.

The previous prime is 896156333. The next prime is 896156353. The reversal of 896156352 is 253651698.

896156352 is a `hidden beast` number, since 8 + 9 + 6 + 1 + 5 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 896156298 and 896156307.

It is not an unprimeable number, because it can be changed into a prime (896156353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6447099 + ... + 6447237.

It is an arithmetic number, because the mean of its divisors is an integer number (7467600).

Almost surely, 2896156352 is an apocalyptic number.

896156352 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 896156352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672742400).

896156352 is an abundant number, since it is smaller than the sum of its proper divisors (2449328448).

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

896156352 is a wasteful number, since it uses less digits than its factorization.

896156352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 205 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 896156352 is about 29935.8706571230. The cubic root of 896156352 is about 964.1129783853.

The spelling of 896156352 in words is "eight hundred ninety-six million, one hundred fifty-six thousand, three hundred fifty-two".