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97008632 = 237335353
BaseRepresentation
bin1011100100000…
…11101111111000
320202112112211022
411302003233320
5144313234012
613343122012
72255363000
oct562035770
9222475738
1097008632
114a839026
12285a3308
1317137076
14cc53000
1587b3472
hex5c83bf8

97008632 has 32 divisors (see below), whose sum is σ = 212124000. Its totient is φ = 41573952.

The previous prime is 97008619. The next prime is 97008643. The reversal of 97008632 is 23680079.

It is a super-2 number, since 2×970086322 = 18821349365022848, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 97008592 and 97008601.

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, 14933 + ... + 20420.

It is an arithmetic number, because the mean of its divisors is an integer number (6628875).

Almost surely, 297008632 is an apocalyptic number.

It is an amenable number.

97008632 is an abundant number, since it is smaller than the sum of its proper divisors (115115368).

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

97008632 is a wasteful number, since it uses less digits than its factorization.

97008632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35380 (or 35362 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 97008632 is about 9849.2960154521. The cubic root of 97008632 is about 459.4837181835.

The spelling of 97008632 in words is "ninety-seven million, eight thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 2744 35353 70706 141412 247471 282824 494942 989884 1732297 1979768 3464594 6929188 12126079 13858376 24252158 48504316 97008632