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133652992 = 2911191249
BaseRepresentation
bin1111111011101…
…10001000000000
3100022111021102211
413331312020000
5233203343432
621132351504
73212013604
oct775661000
9308437384
10133652992
1169497520
1238915594
13218c7415
1413a71504
15bb00d47
hex7f76200

133652992 has 80 divisors (see below), whose sum is σ = 306900000. Its totient is φ = 57507840.

The previous prime is 133652971. The next prime is 133653017. The reversal of 133652992 is 299256331.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 106384 + ... + 107632.

It is an arithmetic number, because the mean of its divisors is an integer number (3836250).

Almost surely, 2133652992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133652992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153450000).

133652992 is an abundant number, since it is smaller than the sum of its proper divisors (173247008).

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

133652992 is a wasteful number, since it uses less digits than its factorization.

133652992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1281 counting only the distinct ones).

The product of its digits is 87480, while the sum is 40.

The square root of 133652992 is about 11560.8387238989. The cubic root of 133652992 is about 511.2808915204.

The spelling of 133652992 in words is "one hundred thirty-three million, six hundred fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 512 608 704 836 1216 1249 1408 1672 2432 2498 2816 3344 4864 4996 5632 6688 9728 9992 13376 13739 19984 23731 26752 27478 39968 47462 53504 54956 79936 94924 107008 109912 159872 189848 219824 261041 319744 379696 439648 522082 639488 759392 879296 1044164 1518784 1758592 2088328 3037568 3517184 4176656 6075136 7034368 8353312 12150272 16706624 33413248 66826496 133652992