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97456992 = 2533313067
BaseRepresentation
bin1011100111100…
…01001101100000
320210101022212020
411303301031200
5144422110432
613400501440
72262241113
oct563611540
9223338766
1097456992
1150014976
122877a880
1317263179
14cd2c57a
15885122c
hex5cf1360

97456992 has 48 divisors (see below), whose sum is σ = 256681152. Its totient is φ = 32376960.

The previous prime is 97456981. The next prime is 97457011. The reversal of 97456992 is 29965479.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 30243 + ... + 33309.

It is an arithmetic number, because the mean of its divisors is an integer number (5347524).

Almost surely, 297456992 is an apocalyptic number.

It is an amenable number.

97456992 is an abundant number, since it is smaller than the sum of its proper divisors (159224160).

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

97456992 is a wasteful number, since it uses less digits than its factorization.

97456992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3403 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 51.

The square root of 97456992 is about 9872.0307941173. The cubic root of 97456992 is about 460.1905196947.

The spelling of 97456992 in words is "ninety-seven million, four hundred fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 331 662 993 1324 1986 2648 3067 3972 5296 6134 7944 9201 10592 12268 15888 18402 24536 31776 36804 49072 73608 98144 147216 294432 1015177 2030354 3045531 4060708 6091062 8121416 12182124 16242832 24364248 32485664 48728496 97456992