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97250688 = 2732294171
BaseRepresentation
bin1011100101111…
…10110110000000
320202222211212100
411302332312000
5144344010223
613352230400
72260421463
oct562766600
9222884770
1097250688
114a993977
122869b400
13171c02b2
14ccb72da
158810043
hex5cbed80

97250688 has 192 divisors, whose sum is σ = 300736800. Its totient is φ = 30105600.

The previous prime is 97250687. The next prime is 97250711. The reversal of 97250688 is 88605279.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97250687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1369693 + ... + 1369763.

Almost surely, 297250688 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 97250688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150368400).

97250688 is an abundant number, since it is smaller than the sum of its proper divisors (203486112).

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

97250688 is a wasteful number, since it uses less digits than its factorization.

97250688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 97250688 is about 9861.5763445810. The cubic root of 97250688 is about 459.8655687829.

The spelling of 97250688 in words is "ninety-seven million, two hundred fifty thousand, six hundred eighty-eight".