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42712544 = 257316151
BaseRepresentation
bin1010001011101…
…1110111100000
32222101000121002
42202323313200
541413300134
64123251132
71026023240
oct242736740
988330532
1042712544
1122123626
1212379aa8
138b063c4
14595bb20
153b3a87e
hex28bbde0

42712544 has 48 divisors (see below), whose sum is σ = 99219456. Its totient is φ = 17712000.

The previous prime is 42712511. The next prime is 42712559. The reversal of 42712544 is 44521724.

It is a super-2 number, since 2×427125442 = 3648722829903872, which contains 22 as substring.

It is a congruent number.

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, 3869 + ... + 10019.

It is an arithmetic number, because the mean of its divisors is an integer number (2067072).

Almost surely, 242712544 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 42712544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49609728).

42712544 is an abundant number, since it is smaller than the sum of its proper divisors (56506912).

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

42712544 is a wasteful number, since it uses less digits than its factorization.

42712544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6199 (or 6191 counting only the distinct ones).

The product of its digits is 8960, while the sum is 29.

The square root of 42712544 is about 6535.4834557208. The cubic root of 42712544 is about 349.5573833517.

The spelling of 42712544 in words is "forty-two million, seven hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6151 6944 12302 24604 43057 49208 86114 98416 172228 190681 196832 344456 381362 688912 762724 1334767 1377824 1525448 2669534 3050896 5339068 6101792 10678136 21356272 42712544