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42147252 = 22327223893
BaseRepresentation
bin1010000011000…
…1110110110100
32221022022011100
42200301312310
541242203002
64103210100
71021150200
oct240616664
987268140
1042147252
1121877944
1212146930
138969004
145851b00
153a7811c
hex2831db4

42147252 has 54 divisors (see below), whose sum is σ = 123938178. Its totient is φ = 12041568.

The previous prime is 42147251. The next prime is 42147269. The reversal of 42147252 is 25274124.

It can be written as a sum of positive squares in only one way, i.e., 41293476 + 853776 = 6426^2 + 924^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42147251) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10183 + ... + 13710.

Almost surely, 242147252 is an apocalyptic number.

42147252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42147252 is an abundant number, since it is smaller than the sum of its proper divisors (81790926).

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

42147252 is a wasteful number, since it uses less digits than its factorization.

42147252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23917 (or 23905 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 42147252 is about 6492.0914965826. The cubic root of 42147252 is about 348.0084223090.

The spelling of 42147252 in words is "forty-two million, one hundred forty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 23893 47786 71679 95572 143358 167251 215037 286716 334502 430074 501753 669004 860148 1003506 1170757 1505259 2007012 2341514 3010518 3512271 4683028 6021036 7024542 10536813 14049084 21073626 42147252