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95630976 = 273375967
BaseRepresentation
bin1011011001100…
…11011010000000
320122221120001000
411230303122000
5143440142401
613253412000
72240564340
oct554633200
9218846030
1095630976
1149a87a71
122803a000
1316a73c9c
14c9b4d20
1585e0186
hex5b33680

95630976 has 256 divisors, whose sum is σ = 332928000. Its totient is φ = 26459136.

The previous prime is 95630957. The next prime is 95631013. The reversal of 95630976 is 67903659.

95630976 is a `hidden beast` number, since 9 + 5 + 630 + 9 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1427295 + ... + 1427361.

It is an arithmetic number, because the mean of its divisors is an integer number (1300500).

Almost surely, 295630976 is an apocalyptic number.

95630976 is a gapful number since it is divisible by the number (96) 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 95630976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166464000).

95630976 is an abundant number, since it is smaller than the sum of its proper divisors (237297024).

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

95630976 is a wasteful number, since it uses less digits than its factorization.

95630976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 95630976 is about 9779.1091618818. The cubic root of 95630976 is about 457.2982394417.

The spelling of 95630976 in words is "ninety-five million, six hundred thirty thousand, nine hundred seventy-six".