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45464880 = 2435189437
BaseRepresentation
bin1010110101101…
…1110100110000
310011112212002110
42231123310300
543114334010
64302245320
71061305446
oct255336460
9104485073
1045464880
112373348a
1213286840
13955b0c6
146076b96
153ed1120
hex2b5bd30

45464880 has 40 divisors (see below), whose sum is σ = 140941872. Its totient is φ = 12123904.

The previous prime is 45464863. The next prime is 45464893. The reversal of 45464880 is 8846454.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×454648803 (a number of 24 digits) contains 333 as substring.

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, 94479 + ... + 94958.

Almost surely, 245464880 is an apocalyptic number.

45464880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45464880 is an abundant number, since it is smaller than the sum of its proper divisors (95476992).

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

45464880 is a wasteful number, since it uses less digits than its factorization.

45464880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189453 (or 189447 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 45464880 is about 6742.7650114771. The cubic root of 45464880 is about 356.9099726697.

The spelling of 45464880 in words is "forty-five million, four hundred sixty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 189437 378874 568311 757748 947185 1136622 1515496 1894370 2273244 2841555 3030992 3788740 4546488 5683110 7577480 9092976 11366220 15154960 22732440 45464880