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97684992 = 2932172943
BaseRepresentation
bin1011101001010…
…00111000000000
320210210220121200
411310220320000
5200001404432
613405421200
72264210616
oct564507000
9223726550
1097684992
11501601a9
122886a800
1317312b92
14cd8b6b6
158898a7c
hex5d28e00

97684992 has 240 divisors, whose sum is σ = 315984240. Its totient is φ = 28901376.

The previous prime is 97684987. The next prime is 97685033. The reversal of 97684992 is 29948679.

97684992 is a `hidden beast` number, since 97 + 68 + 499 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2271723 + ... + 2271765.

It is an arithmetic number, because the mean of its divisors is an integer number (1316601).

Almost surely, 297684992 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 97684992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157992120).

97684992 is an abundant number, since it is smaller than the sum of its proper divisors (218299248).

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

97684992 is a wasteful number, since it uses less digits than its factorization.

97684992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 97684992 is about 9883.5718239916. The cubic root of 97684992 is about 460.5491111101.

The spelling of 97684992 in words is "ninety-seven million, six hundred eighty-four thousand, nine hundred ninety-two".