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97292970 = 23252937277
BaseRepresentation
bin1011100110010…
…01001010101010
320210001222212100
411303021022222
5144401333340
613353154230
72260655655
oct563111252
9223058770
1097292970
114aa12715
12286bb976
1317206608
14ccc889c
15881c830
hex5cc92aa

97292970 has 48 divisors (see below), whose sum is σ = 261691560. Its totient is φ = 25049472.

The previous prime is 97292969. The next prime is 97293011. The reversal of 97292970 is 7929279.

It can be written as a sum of positive squares in 4 ways, for example, as 44715969 + 52577001 = 6687^2 + 7251^2 .

It is a super-2 number, since 2×972929702 = 18931844022841800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 16029 + ... + 21248.

Almost surely, 297292970 is an apocalyptic number.

97292970 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

97292970 is an abundant number, since it is smaller than the sum of its proper divisors (164398590).

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

97292970 is a wasteful number, since it uses less digits than its factorization.

97292970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37319 (or 37316 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 97292970 is about 9863.7198865337. The cubic root of 97292970 is about 459.9322048796.

The spelling of 97292970 in words is "ninety-seven million, two hundred ninety-two thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 37277 74554 111831 186385 223662 335493 372770 559155 670986 1081033 1118310 1677465 2162066 3243099 3354930 5405165 6486198 9729297 10810330 16215495 19458594 32430990 48646485 97292970