Search a number
-
+
253872696 = 233711178081
BaseRepresentation
bin11110010000111…
…00101000111000
3122200201001212110
433020130220320
51004442411241
641105212320
76201611430
oct1710345070
9580631773
10253872696
11120339350
12710310a0
134079a33c
1425a072c0
151744b816
hexf21ca38

253872696 has 128 divisors (see below), whose sum is σ = 837941760. Its totient is φ = 62054400.

The previous prime is 253872677. The next prime is 253872719. The reversal of 253872696 is 696278352.

253872696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 27376 + ... + 35456.

It is an arithmetic number, because the mean of its divisors is an integer number (6546420).

Almost surely, 2253872696 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 253872696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418970880).

253872696 is an abundant number, since it is smaller than the sum of its proper divisors (584069064).

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

253872696 is a wasteful number, since it uses less digits than its factorization.

253872696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8125 (or 8121 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 253872696 is about 15933.3830682627. The cubic root of 253872696 is about 633.1967323737.

The spelling of 253872696 in words is "two hundred fifty-three million, eight hundred seventy-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 17 21 22 24 28 33 34 42 44 51 56 66 68 77 84 88 102 119 132 136 154 168 187 204 231 238 264 308 357 374 408 462 476 561 616 714 748 924 952 1122 1309 1428 1496 1848 2244 2618 2856 3927 4488 5236 7854 8081 10472 15708 16162 24243 31416 32324 48486 56567 64648 88891 96972 113134 137377 169701 177782 193944 226268 266673 274754 339402 355564 412131 452536 533346 549508 622237 678804 711128 824262 961639 1066692 1099016 1244474 1357608 1511147 1648524 1866711 1923278 2133384 2488948 2884917 3022294 3297048 3733422 3846556 4533441 4977896 5769834 6044588 7466844 7693112 9066882 10578029 11539668 12089176 14933688 18133764 21156058 23079336 31734087 36267528 42312116 63468174 84624232 126936348 253872696