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146008638 = 23255714563
BaseRepresentation
bin10001011001111…
…10101000111110
3101011202000012100
420230332220332
5244334234023
622253245530
73422024106
oct1054765076
9334660170
10146008638
11754664a6
1240a938a6
1324332259
141556a206
15cc41c43
hex8b3ea3e

146008638 has 24 divisors (see below), whose sum is σ = 316941768. Its totient is φ = 48578832.

The previous prime is 146008637. The next prime is 146008651. The reversal of 146008638 is 836800641.

It is a happy number.

146008638 is a `hidden beast` number, since 14 + 6 + 0 + 0 + 8 + 638 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146008633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2745 + ... + 17307.

It is an arithmetic number, because the mean of its divisors is an integer number (13205907).

Almost surely, 2146008638 is an apocalyptic number.

146008638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

146008638 is an abundant number, since it is smaller than the sum of its proper divisors (170933130).

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

146008638 is a wasteful number, since it uses less digits than its factorization.

146008638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15128 (or 15125 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 146008638 is about 12083.4034112910. The cubic root of 146008638 is about 526.5741272188.

The spelling of 146008638 in words is "one hundred forty-six million, eight thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 18 557 1114 1671 3342 5013 10026 14563 29126 43689 87378 131067 262134 8111591 16223182 24334773 48669546 73004319 146008638