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38293164 = 223271311689
BaseRepresentation
bin1001001000010…
…0111010101100
32200001111100100
42102010322230
534300340124
63444431100
7643325610
oct222047254
980044310
1038293164
111a685248
12109a8490
137c199a0
14512b340
1535661c9
hex2484eac

38293164 has 72 divisors (see below), whose sum is σ = 119144480. Its totient is φ = 10098432.

The previous prime is 38293159. The next prime is 38293169. The reversal of 38293164 is 46139283.

It is an interprime number because it is at equal distance from previous prime (38293159) and next prime (38293169).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38293169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2569 + ... + 9120.

Almost surely, 238293164 is an apocalyptic number.

It is an amenable number.

38293164 is an abundant number, since it is smaller than the sum of its proper divisors (80851316).

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

38293164 is a wasteful number, since it uses less digits than its factorization.

38293164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11719 (or 11714 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 38293164 is about 6188.1470570761. The cubic root of 38293164 is about 337.0598971335.

The spelling of 38293164 in words is "thirty-eight million, two hundred ninety-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 11689 23378 35067 46756 70134 81823 105201 140268 151957 163646 210402 245469 303914 327292 420804 455871 490938 607828 736407 911742 981876 1063699 1367613 1472814 1823484 2127398 2735226 2945628 3191097 4254796 5470452 6382194 9573291 12764388 19146582 38293164