Search a number
-
+
253868076 = 223271191583
BaseRepresentation
bin11110010000110…
…11100000101100
3122200200211112100
433020123200230
51004442234301
641105135100
76201562110
oct1710334054
9580624470
10253868076
11120335930
127102a490
13407981c7
1425a05740
151744a286
hexf21b82c

253868076 has 72 divisors (see below), whose sum is σ = 800077824. Its totient is φ = 65939040.

The previous prime is 253868053. The next prime is 253868077. The reversal of 253868076 is 670868352.

253868076 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (253868077) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 43020 + ... + 48563.

It is an arithmetic number, because the mean of its divisors is an integer number (11112192).

Almost surely, 2253868076 is an apocalyptic number.

It is an amenable number.

253868076 is an abundant number, since it is smaller than the sum of its proper divisors (546209748).

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

253868076 is a wasteful number, since it uses less digits than its factorization.

253868076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91611 (or 91606 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 253868076 is about 15933.2380889761. The cubic root of 253868076 is about 633.1928913585.

The spelling of 253868076 in words is "two hundred fifty-three million, eight hundred sixty-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 91583 183166 274749 366332 549498 641081 824247 1007413 1098996 1282162 1648494 1923243 2014826 2564324 3022239 3296988 3846486 4029652 5769729 6044478 7051891 7692972 9066717 11539458 12088956 14103782 18133434 21155673 23078916 28207564 36266868 42311346 63467019 84622692 126934038 253868076