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42145056 = 253348779
BaseRepresentation
bin1010000011000…
…1010100100000
32221022012011000
42200301110200
541242120211
64103152000
71021140612
oct240612440
987265130
1042145056
1121876228
1212145600
138968005
145850db2
153a77656
hex2831520

42145056 has 48 divisors (see below), whose sum is σ = 122925600. Its totient is φ = 14048064.

The previous prime is 42145009. The next prime is 42145063. The reversal of 42145056 is 65054124.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 23526 + ... + 25253.

It is an arithmetic number, because the mean of its divisors is an integer number (2560950).

Almost surely, 242145056 is an apocalyptic number.

It is an amenable number.

42145056 is an abundant number, since it is smaller than the sum of its proper divisors (80780544).

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

42145056 is a wasteful number, since it uses less digits than its factorization.

42145056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48798 (or 48784 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 42145056 is about 6491.9223655247. The cubic root of 42145056 is about 348.0023781050.

The spelling of 42145056 in words is "forty-two million, one hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 48779 97558 146337 195116 292674 390232 439011 585348 780464 878022 1170696 1317033 1560928 1756044 2341392 2634066 3512088 4682784 5268132 7024176 10536264 14048352 21072528 42145056