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149279076 = 223237311117
BaseRepresentation
bin10001110010111…
…01000101100100
3101101220011101200
420321131011210
5301203412301
622451322500
73461564652
oct1071350544
9341804350
10149279076
117729a641
1241bb0430
1324c08a1b
1415b7bdd2
15d18ac86
hex8e5d164

149279076 has 36 divisors (see below), whose sum is σ = 378390012. Its totient is φ = 49621824.

The previous prime is 149279047. The next prime is 149279089. The reversal of 149279076 is 670972941.

149279076 is a `hidden beast` number, since 1 + 492 + 7 + 90 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45239076 + 104040000 = 6726^2 + 10200^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 7870 + ... + 18986.

Almost surely, 2149279076 is an apocalyptic number.

It is an amenable number.

149279076 is an abundant number, since it is smaller than the sum of its proper divisors (229110936).

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

149279076 is a wasteful number, since it uses less digits than its factorization.

With its successor (149279077) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (11495).

149279076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11500 (or 11495 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 149279076 is about 12217.9816663801. The cubic root of 149279076 is about 530.4766993905.

The spelling of 149279076 in words is "one hundred forty-nine million, two hundred seventy-nine thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 373 746 1119 1492 2238 3357 4476 6714 11117 13428 22234 33351 44468 66702 100053 133404 200106 400212 4146641 8293282 12439923 16586564 24879846 37319769 49759692 74639538 149279076