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149418368 = 2711106121
BaseRepresentation
bin10001110011111…
…11000110000000
3101102011020110122
420321333012000
5301222341433
622454315412
73463015031
oct1071770600
9342136418
10149418368
1177385260
1242058b68
1324c57248
1415bb6a88
15d1b7198
hex8e7f180

149418368 has 32 divisors (see below), whose sum is σ = 324733320. Its totient is φ = 67916800.

The previous prime is 149418361. The next prime is 149418377. The reversal of 149418368 is 863814941.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149418361) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 51653 + ... + 54468.

Almost surely, 2149418368 is an apocalyptic number.

It is an amenable number.

149418368 is an abundant number, since it is smaller than the sum of its proper divisors (175314952).

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

149418368 is a wasteful number, since it uses less digits than its factorization.

149418368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106146 (or 106134 counting only the distinct ones).

The product of its digits is 165888, while the sum is 44.

The square root of 149418368 is about 12223.6806241001. The cubic root of 149418368 is about 530.6416436719.

The spelling of 149418368 in words is "one hundred forty-nine million, four hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 106121 212242 424484 848968 1167331 1697936 2334662 3395872 4669324 6791744 9338648 13583488 18677296 37354592 74709184 149418368