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149299192 = 23729149617
BaseRepresentation
bin10001110011000…
…01111111111000
3101101221011222201
420321201333320
5301210033232
622451555544
73462010420
oct1071417770
9341834881
10149299192
1177303769
1241bbbbb4
1324c14c23
1415b85480
15d191be7
hex8e61ff8

149299192 has 64 divisors (see below), whose sum is σ = 333720000. Its totient is φ = 61264896.

The previous prime is 149299123. The next prime is 149299201. The reversal of 149299192 is 291992941.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241668 + ... + 242284.

It is an arithmetic number, because the mean of its divisors is an integer number (5214375).

Almost surely, 2149299192 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 149299192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166860000).

149299192 is an abundant number, since it is smaller than the sum of its proper divisors (184420808).

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

149299192 is a wasteful number, since it uses less digits than its factorization.

149299192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 804 counting only the distinct ones).

The product of its digits is 104976, while the sum is 46.

The square root of 149299192 is about 12218.8048515393. The cubic root of 149299192 is about 530.5005263288.

The spelling of 149299192 in words is "one hundred forty-nine million, two hundred ninety-nine thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 149 203 232 298 406 596 617 812 1043 1192 1234 1624 2086 2468 4172 4319 4321 4936 8344 8638 8642 17276 17284 17893 30247 34552 34568 35786 60494 71572 91933 120988 125251 143144 183866 241976 250502 367732 501004 643531 735464 1002008 1287062 2574124 2666057 5148248 5332114 10664228 18662399 21328456 37324798 74649596 149299192