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272675088 = 243271571723
BaseRepresentation
bin10000010000001…
…011000100010000
3201000002022220100
4100100023010100
51024301100323
643020212400
76520462050
oct2020130420
9630068810
10272675088
1112aa10914
127739a100
134465160a
14282dd560
1518e12943
hex1040b110

272675088 has 120 divisors (see below), whose sum is σ = 878191808. Its totient is φ = 77366016.

The previous prime is 272675077. The next prime is 272675147. The reversal of 272675088 is 880576272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157395 + ... + 159117.

Almost surely, 2272675088 is an apocalyptic number.

272675088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272675088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439095904).

272675088 is an abundant number, since it is smaller than the sum of its proper divisors (605516720).

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

272675088 is a wasteful number, since it uses less digits than its factorization.

272675088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 272675088 is about 16512.8764302286. The cubic root of 272675088 is about 648.4579524585.

The spelling of 272675088 in words is "two hundred seventy-two million, six hundred seventy-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 157 168 252 314 336 471 504 628 942 1008 1099 1256 1413 1723 1884 2198 2512 2826 3297 3446 3768 4396 5169 5652 6594 6892 7536 8792 9891 10338 11304 12061 13188 13784 15507 17584 19782 20676 22608 24122 26376 27568 31014 36183 39564 41352 48244 52752 62028 72366 79128 82704 96488 108549 124056 144732 158256 192976 217098 248112 270511 289464 434196 541022 578928 811533 868392 1082044 1623066 1736784 1893577 2164088 2434599 3246132 3787154 4328176 4869198 5680731 6492264 7574308 9738396 11361462 12984528 15148616 17042193 19476792 22722924 30297232 34084386 38953584 45445848 68168772 90891696 136337544 272675088