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149646972 = 223109191599
BaseRepresentation
bin10001110101101…
…10111001111100
3101102120212001110
420322312321330
5301302200342
622503242020
73464656356
oct1072667174
9342525043
10149646972
1177520a92
1242149310
1325007307
1415c360d6
15d20ec9c
hex8eb6e7c

149646972 has 48 divisors (see below), whose sum is σ = 354816000. Its totient is φ = 49083840.

The previous prime is 149646967. The next prime is 149646997. The reversal of 149646972 is 279646941.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249529 + ... + 250127.

It is an arithmetic number, because the mean of its divisors is an integer number (7392000).

Almost surely, 2149646972 is an apocalyptic number.

149646972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149646972 is an abundant number, since it is smaller than the sum of its proper divisors (205169028).

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

149646972 is a wasteful number, since it uses less digits than its factorization.

149646972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 904 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 149646972 is about 12233.0279162601. The cubic root of 149646972 is about 530.9121257901.

The spelling of 149646972 in words is "one hundred forty-nine million, six hundred forty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 109 191 218 327 382 436 573 599 654 764 1146 1198 1308 1797 2292 2396 3594 7188 20819 41638 62457 65291 83276 114409 124914 130582 195873 228818 249828 261164 343227 391746 457636 686454 783492 1372908 12470581 24941162 37411743 49882324 74823486 149646972