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97952912 = 2417379733
BaseRepresentation
bin1011101011010…
…10010010010000
320211022112010122
411311222102100
5200033443122
613415245412
72266405001
oct565522220
9224275118
1097952912
1150323522
1228979868
13173a7b05
14d01b1a8
1588ed142
hex5d6a490

97952912 has 40 divisors (see below), whose sum is σ = 206399736. Its totient is φ = 44845056.

The previous prime is 97952909. The next prime is 97952927. The reversal of 97952912 is 21925979.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 67305616 + 30647296 = 8204^2 + 5536^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5198 + ... + 14930.

Almost surely, 297952912 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 97952912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103199868).

97952912 is an abundant number, since it is smaller than the sum of its proper divisors (108446824).

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

97952912 is a wasteful number, since it uses less digits than its factorization.

97952912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9795 (or 9789 counting only the distinct ones).

The product of its digits is 102060, while the sum is 44.

The square root of 97952912 is about 9897.1163477045. The cubic root of 97952912 is about 460.9697751228.

The spelling of 97952912 in words is "ninety-seven million, nine hundred fifty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 296 592 629 1258 2516 5032 9733 10064 19466 38932 77864 155728 165461 330922 360121 661844 720242 1323688 1440484 2647376 2880968 5761936 6122057 12244114 24488228 48976456 97952912