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97000476 = 223232912119
BaseRepresentation
bin1011100100000…
…01110000011100
320202112010122020
411302001300130
5144313003401
613343020140
72255330136
oct562016034
9222463566
1097000476
114a832991
122859a650
1317133441
14cc50056
1587b0d36
hex5c81c1c

97000476 has 48 divisors (see below), whose sum is σ = 244339200. Its totient is φ = 29858752.

The previous prime is 97000469. The next prime is 97000481. The reversal of 97000476 is 67400079.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1945 + ... + 14063.

It is an arithmetic number, because the mean of its divisors is an integer number (5090400).

Almost surely, 297000476 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 97000476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122169600).

97000476 is an abundant number, since it is smaller than the sum of its proper divisors (147338724).

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

97000476 is a wasteful number, since it uses less digits than its factorization.

97000476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12178 (or 12176 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 97000476 is about 9848.8819670052. The cubic root of 97000476 is about 459.4708407925.

The spelling of 97000476 in words is "ninety-seven million, four hundred seventy-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 348 667 1334 2001 2668 4002 8004 12119 24238 36357 48476 72714 145428 278737 351451 557474 702902 836211 1054353 1114948 1405804 1672422 2108706 3344844 4217412 8083373 16166746 24250119 32333492 48500238 97000476