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149394528 = 25321094759
BaseRepresentation
bin10001110011110…
…01010001100000
3101102010000202200
420321321101200
5301221111103
622454013200
73462555363
oct1071712140
9342100680
10149394528
1177369358
1242047200
1324c4943a
1415bac0da
15d1b00a3
hex8e79460

149394528 has 72 divisors (see below), whose sum is σ = 428828400. Its totient is φ = 49330944.

The previous prime is 149394481. The next prime is 149394563. The reversal of 149394528 is 825493941.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29013 + ... + 33771.

It is an arithmetic number, because the mean of its divisors is an integer number (5955950).

Almost surely, 2149394528 is an apocalyptic number.

149394528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149394528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214414200).

149394528 is an abundant number, since it is smaller than the sum of its proper divisors (279433872).

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

149394528 is a wasteful number, since it uses less digits than its factorization.

149394528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4884 (or 4873 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 149394528 is about 12222.7054288320. The cubic root of 149394528 is about 530.6134205250.

The spelling of 149394528 in words is "one hundred forty-nine million, three hundred ninety-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 109 144 218 288 327 436 654 872 981 1308 1744 1962 2616 3488 3924 4759 5232 7848 9518 10464 14277 15696 19036 28554 31392 38072 42831 57108 76144 85662 114216 152288 171324 228432 342648 456864 518731 685296 1037462 1370592 1556193 2074924 3112386 4149848 4668579 6224772 8299696 9337158 12449544 16599392 18674316 24899088 37348632 49798176 74697264 149394528