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93149904 = 24383103227
BaseRepresentation
bin1011000110101…
…01101011010000
320111021111122110
411203111223100
5142321244104
613124305320
72210522031
oct543255320
9214244573
1093149904
11486429a1
1227242240
13163b58b3
14c52aa88
15829ee89
hex58d5ad0

93149904 has 80 divisors (see below), whose sum is σ = 246984192. Its totient is φ = 30244224.

The previous prime is 93149897. The next prime is 93149923. The reversal of 93149904 is 40994139.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410239 + ... + 410465.

Almost surely, 293149904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93149904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123492096).

93149904 is an abundant number, since it is smaller than the sum of its proper divisors (153834288).

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

93149904 is a wasteful number, since it uses less digits than its factorization.

93149904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 93149904 is about 9651.4197919270. The cubic root of 93149904 is about 453.3087866371.

The spelling of 93149904 in words is "ninety-three million, one hundred forty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 103 166 206 227 249 309 332 412 454 498 618 664 681 824 908 996 1236 1328 1362 1648 1816 1992 2472 2724 3632 3984 4944 5448 8549 10896 17098 18841 23381 25647 34196 37682 46762 51294 56523 68392 70143 75364 93524 102588 113046 136784 140286 150728 187048 205176 226092 280572 301456 374096 410352 452184 561144 904368 1122288 1940623 3881246 5821869 7762492 11643738 15524984 23287476 31049968 46574952 93149904