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142626432 = 2731328571
BaseRepresentation
bin10001000000001…
…00111010000000
3100221101011200110
420200010322000
5243003021212
622052551320
73351206334
oct1040047200
9327334613
10142626432
1173566393
123b922540
1323719950
1414d297c4
15c7c4a3c
hex8804e80

142626432 has 64 divisors (see below), whose sum is σ = 408008160. Its totient is φ = 43883520.

The previous prime is 142626431. The next prime is 142626439. The reversal of 142626432 is 234626241.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 142626432.

It is not an unprimeable number, because it can be changed into a prime (142626431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9294 + ... + 19277.

Almost surely, 2142626432 is an apocalyptic number.

142626432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142626432 is an abundant number, since it is smaller than the sum of its proper divisors (265381728).

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

142626432 is a wasteful number, since it uses less digits than its factorization.

142626432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28601 (or 28589 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 142626432 is about 11942.6308659357. The cubic root of 142626432 is about 522.4763930941.

The spelling of 142626432 in words is "one hundred forty-two million, six hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 28571 57142 85713 114284 171426 228568 342852 371423 457136 685704 742846 914272 1114269 1371408 1485692 1828544 2228538 2742816 2971384 3657088 4457076 5485632 5942768 8914152 10971264 11885536 17828304 23771072 35656608 47542144 71313216 142626432