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42474564 = 22331135753
BaseRepresentation
bin1010001000000…
…1110001000100
32221220221011000
42202001301010
541333141224
64114213300
71024012356
oct242016104
987827130
1042474564
1121a80850
1212284230
138a51ca2
1458d90d6
153ae00c9
hex2881c44

42474564 has 48 divisors (see below), whose sum is σ = 120133440. Its totient is φ = 12870720.

The previous prime is 42474559. The next prime is 42474569. The reversal of 42474564 is 46547424.

42474564 is a `hidden beast` number, since 4 + 24 + 74 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (42474559) and next prime (42474569).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42474569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16689 + ... + 19064.

It is an arithmetic number, because the mean of its divisors is an integer number (2502780).

Almost surely, 242474564 is an apocalyptic number.

42474564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42474564 is an abundant number, since it is smaller than the sum of its proper divisors (77658876).

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

42474564 is a wasteful number, since it uses less digits than its factorization.

42474564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35777 (or 35769 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 42474564 is about 6517.2512610763. The cubic root of 42474564 is about 348.9069683038.

The spelling of 42474564 in words is "forty-two million, four hundred seventy-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 35753 71506 107259 143012 214518 321777 393283 429036 643554 786566 965331 1179849 1287108 1573132 1930662 2359698 3539547 3861324 4719396 7079094 10618641 14158188 21237282 42474564