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137904822 = 233111791297
BaseRepresentation
bin10000011100001…
…00001010110110
3100121111021212000
420032010022312
5240300423242
621403440130
73263112606
oct1016041266
9317437760
10137904822
1170930a30
123a226046
13227557b3
141445ac06
15c190a4c
hex83842b6

137904822 has 64 divisors (see below), whose sum is σ = 336441600. Its totient is φ = 41523840.

The previous prime is 137904817. The next prime is 137904829. The reversal of 137904822 is 228409731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137904829) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 105678 + ... + 106974.

It is an arithmetic number, because the mean of its divisors is an integer number (5256900).

Almost surely, 2137904822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137904822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168220800).

137904822 is an abundant number, since it is smaller than the sum of its proper divisors (198536778).

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

137904822 is a wasteful number, since it uses less digits than its factorization.

137904822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 137904822 is about 11743.2883810285. The cubic root of 137904822 is about 516.6460944058.

The spelling of 137904822 in words is "one hundred thirty-seven million, nine hundred four thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 179 198 297 358 537 594 1074 1297 1611 1969 2594 3222 3891 3938 4833 5907 7782 9666 11673 11814 14267 17721 23346 28534 35019 35442 42801 53163 70038 85602 106326 128403 232163 256806 385209 464326 696489 770418 1392978 2089467 2553793 4178934 5107586 6268401 7661379 12536802 15322758 22984137 45968274 68952411 137904822