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149864328 = 23327328513
BaseRepresentation
bin10001110111010…
…11111110001000
3101102222220012200
420323223332020
5301331124303
622512040200
73466553145
oct1073537610
9342886180
10149864328
117765a319
1242233060
1325082223
1415c913cc
15d2543a3
hex8eebf88

149864328 has 48 divisors (see below), whose sum is σ = 411457020. Its totient is φ = 49268736.

The previous prime is 149864317. The next prime is 149864339. The reversal of 149864328 is 823468941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (149864317) and next prime (149864339).

It can be written as a sum of positive squares in 2 ways, for example, as 134513604 + 15350724 = 11598^2 + 3918^2 .

It is a nude number because it is divisible by every one of its digits.

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, 9001 + ... + 19512.

Almost surely, 2149864328 is an apocalyptic number.

149864328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

149864328 is an abundant number, since it is smaller than the sum of its proper divisors (261592692).

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

149864328 is a wasteful number, since it uses less digits than its factorization.

149864328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28598 (or 28591 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 149864328 is about 12241.9086747125. The cubic root of 149864328 is about 531.1690440330.

The spelling of 149864328 in words is "one hundred forty-nine million, eight hundred sixty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 28513 57026 85539 114052 171078 228104 256617 342156 513234 684312 1026468 2052936 2081449 4162898 6244347 8325796 12488694 16651592 18733041 24977388 37466082 49954776 74932164 149864328