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149433156 = 22329742793
BaseRepresentation
bin10001110100000…
…10101101000100
3101102011222202100
420322002231010
5301223330111
622454512100
73463106115
oct1072025504
9342158670
10149433156
1177395384
1242065630
1324c60bb2
1415bbc20c
15d1bb756
hex8e82b44

149433156 has 36 divisors (see below), whose sum is σ = 381636892. Its totient is φ = 49296384.

The previous prime is 149433131. The next prime is 149433169. The reversal of 149433156 is 651334941.

149433156 is digitally balanced in base 3 and base 9, because in such bases 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 72590400 + 76842756 = 8520^2 + 8766^2 .

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

It is a super-2 number, since 2×1494331562 = 44660536224240672, which contains 22 as substring.

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

149433156 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 149433156.

It is an unprimeable number.

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, 17905 + ... + 24888.

Almost surely, 2149433156 is an apocalyptic number.

It is an amenable number.

149433156 is an abundant number, since it is smaller than the sum of its proper divisors (232203736).

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

149433156 is a wasteful number, since it uses less digits than its factorization.

149433156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42900 (or 42895 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 149433156 is about 12224.2855005927. The cubic root of 149433156 is about 530.6591490382.

The spelling of 149433156 in words is "one hundred forty-nine million, four hundred thirty-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 42793 85586 128379 171172 256758 385137 513516 770274 1540548 4150921 8301842 12452763 16603684 24905526 37358289 49811052 74716578 149433156