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97333056 = 2633233179
BaseRepresentation
bin1011100110100…
…10111101000000
320210011000212000
411303102331000
5144404124211
613354104000
72261213562
oct563227500
9223130760
1097333056
114aa3a847
122871b000
131721b932
14ccd9332
158829656
hex5cd2f40

97333056 has 224 divisors, whose sum is σ = 312115200. Its totient is φ = 29652480.

The previous prime is 97332997. The next prime is 97333063. The reversal of 97333056 is 65033379.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 97333056.

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 31 ways as a sum of consecutive naturals, for example, 1232025 + ... + 1232103.

Almost surely, 297333056 is an apocalyptic number.

97333056 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 97333056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156057600).

97333056 is an abundant number, since it is smaller than the sum of its proper divisors (214782144).

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

97333056 is a wasteful number, since it uses less digits than its factorization.

97333056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 36.

The square root of 97333056 is about 9865.7516692850. The cubic root of 97333056 is about 459.9953622721.

The spelling of 97333056 in words is "ninety-seven million, three hundred thirty-three thousand, fifty-six".