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142627032 = 23323163901
BaseRepresentation
bin10001000000001…
…01000011011000
3100221101012111200
420200011003120
5243003031112
622052554200
73351211152
oct1040050330
9327335450
10142627032
1173566889
123b922960
1323719cc2
1414d29ad2
15c7c4cdc
hex88050d8

142627032 has 48 divisors (see below), whose sum is σ = 398748480. Its totient is φ = 46008000.

The previous prime is 142627027. The next prime is 142627073. The reversal of 142627032 is 230726241.

142627032 is a `hidden beast` number, since 1 + 4 + 2 + 627 + 0 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 142626987 and 142627005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29719 + ... + 34182.

It is an arithmetic number, because the mean of its divisors is an integer number (8307260).

Almost surely, 2142627032 is an apocalyptic number.

142627032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142627032 is an abundant number, since it is smaller than the sum of its proper divisors (256121448).

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

142627032 is a wasteful number, since it uses less digits than its factorization.

142627032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63944 (or 63937 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 142627032 is about 11942.6559860024. The cubic root of 142627032 is about 522.4771257433.

The spelling of 142627032 in words is "one hundred forty-two million, six hundred twenty-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 63901 127802 191703 255604 383406 511208 575109 766812 1150218 1533624 1980931 2300436 3961862 4600872 5942793 7923724 11885586 15847448 17828379 23771172 35656758 47542344 71313516 142627032