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97332872 = 23713235813
BaseRepresentation
bin1011100110100…
…10111010001000
320210011000121012
411303102322020
5144404122442
613354103052
72261213210
oct563227210
9223130535
1097332872
114aa3a69a
122871aa88
131721b820
14ccd9240
158829582
hex5cd2e88

97332872 has 64 divisors (see below), whose sum is σ = 234420480. Its totient is φ = 36824832.

The previous prime is 97332863. The next prime is 97332913. The reversal of 97332872 is 27823379.

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 15 ways as a sum of consecutive naturals, for example, 13838 + ... + 19650.

It is an arithmetic number, because the mean of its divisors is an integer number (3662820).

Almost surely, 297332872 is an apocalyptic number.

97332872 is a gapful number since it is divisible by the number (92) 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 97332872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117210240).

97332872 is an abundant number, since it is smaller than the sum of its proper divisors (137087608).

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

97332872 is a wasteful number, since it uses less digits than its factorization.

97332872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5862 (or 5858 counting only the distinct ones).

The product of its digits is 127008, while the sum is 41.

The square root of 97332872 is about 9865.7423440915. The cubic root of 97332872 is about 459.9950724110.

The spelling of 97332872 in words is "ninety-seven million, three hundred thirty-two thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 56 91 92 104 161 182 184 299 322 364 598 644 728 1196 1288 2093 2392 4186 5813 8372 11626 16744 23252 40691 46504 75569 81382 133699 151138 162764 267398 302276 325528 528983 534796 604552 935893 1057966 1069592 1738087 1871786 2115932 3476174 3743572 4231864 6952348 7487144 12166609 13904696 24333218 48666436 97332872