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149719392 = 25321927361
BaseRepresentation
bin10001110110010…
…00100101100000
3101102201112101200
420323020211200
5301312010032
622505001200
73465410454
oct1073104540
9342645350
10149719392
1177570439
1242183200
1325031274
1415c54664
15d22647c
hex8ec8960

149719392 has 72 divisors (see below), whose sum is σ = 448189560. Its totient is φ = 47278080.

The previous prime is 149719379. The next prime is 149719447. The reversal of 149719392 is 293917941.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 8209 + ... + 19152.

It is an arithmetic number, because the mean of its divisors is an integer number (6224855).

Almost surely, 2149719392 is an apocalyptic number.

149719392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149719392 is an abundant number, since it is smaller than the sum of its proper divisors (298470168).

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

149719392 is a wasteful number, since it uses less digits than its factorization.

149719392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27396 (or 27385 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 149719392 is about 12235.9875776334. The cubic root of 149719392 is about 530.9977549992.

The spelling of 149719392 in words is "one hundred forty-nine million, seven hundred nineteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 27361 54722 82083 109444 164166 218888 246249 328332 437776 492498 519859 656664 875552 984996 1039718 1313328 1559577 1969992 2079436 2626656 3119154 3939984 4158872 4678731 6238308 7879968 8317744 9357462 12476616 16635488 18714924 24953232 37429848 49906464 74859696 149719392