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149568516 = 223217244393
BaseRepresentation
bin10001110101000…
…11110000000100
3101102102212102200
420322203300010
5301242143031
622501434500
73464211546
oct1072436004
9342385380
10149568516
1177478049
124210ba30
1324caa6a6
1415c15696
15d1e68e6
hex8ea3c04

149568516 has 36 divisors (see below), whose sum is σ = 400317372. Its totient is φ = 46923264.

The previous prime is 149568511. The next prime is 149568527. The reversal of 149568516 is 615865941.

149568516 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 109118916 + 40449600 = 10446^2 + 6360^2 .

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

It is not an unprimeable number, because it can be changed into a prime (149568511) 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 11 ways as a sum of consecutive naturals, for example, 121585 + ... + 122808.

It is an arithmetic number, because the mean of its divisors is an integer number (11119927).

Almost surely, 2149568516 is an apocalyptic number.

It is an amenable number.

149568516 is an abundant number, since it is smaller than the sum of its proper divisors (250748856).

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

149568516 is a wasteful number, since it uses less digits than its factorization.

149568516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244420 (or 244415 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 149568516 is about 12229.8207672885. The cubic root of 149568516 is about 530.8193284495.

The spelling of 149568516 in words is "one hundred forty-nine million, five hundred sixty-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 244393 488786 733179 977572 1466358 2199537 2932716 4154681 4399074 8309362 8798148 12464043 16618724 24928086 37392129 49856172 74784258 149568516