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42772584 = 23312714033
BaseRepresentation
bin1010001100101…
…0100001101000
32222111001221210
42203022201220
541422210314
64124433120
71026363261
oct243124150
988431853
1042772584
1122164748
12123a87a0
138b2782a
145975968
153b4d559
hex28ca868

42772584 has 32 divisors (see below), whose sum is σ = 107781120. Its totient is φ = 14144256.

The previous prime is 42772579. The next prime is 42772607. The reversal of 42772584 is 48527724.

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, 3969 + ... + 10064.

It is an arithmetic number, because the mean of its divisors is an integer number (3368160).

Almost surely, 242772584 is an apocalyptic number.

It is an amenable number.

42772584 is an abundant number, since it is smaller than the sum of its proper divisors (65008536).

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

42772584 is a wasteful number, since it uses less digits than its factorization.

42772584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14169 (or 14165 counting only the distinct ones).

The product of its digits is 125440, while the sum is 39.

The square root of 42772584 is about 6540.0752289251. The cubic root of 42772584 is about 349.7210948141.

The spelling of 42772584 in words is "forty-two million, seven hundred seventy-two thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 127 254 381 508 762 1016 1524 3048 14033 28066 42099 56132 84198 112264 168396 336792 1782191 3564382 5346573 7128764 10693146 14257528 21386292 42772584