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253124934 = 231729831031
BaseRepresentation
bin11110001011001…
…10000101000110
3122122022002010120
433011212011012
51004244444214
641041202410
76162345366
oct1705460506
9578262116
10253124934
1111a978567
1270930406
1340597b8a
14258909a6
151734eea9
hexf166146

253124934 has 64 divisors (see below), whose sum is σ = 561738240. Its totient is φ = 75676160.

The previous prime is 253124933. The next prime is 253124941. The reversal of 253124934 is 439421352.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 253124895 and 253124904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253124933) 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 31 ways as a sum of consecutive naturals, for example, 244999 + ... + 246029.

It is an arithmetic number, because the mean of its divisors is an integer number (8777160).

Almost surely, 2253124934 is an apocalyptic number.

253124934 is an abundant number, since it is smaller than the sum of its proper divisors (308613306).

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

253124934 is a wasteful number, since it uses less digits than its factorization.

253124934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165.

The product of its digits is 25920, while the sum is 33.

The square root of 253124934 is about 15909.9005025173. The cubic root of 253124934 is about 632.5744439970.

The spelling of 253124934 in words is "two hundred fifty-three million, one hundred twenty-four thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 17 29 34 51 58 83 87 102 166 174 249 493 498 986 1031 1411 1479 2062 2407 2822 2958 3093 4233 4814 6186 7221 8466 14442 17527 29899 35054 40919 52581 59798 81838 85573 89697 105162 122757 171146 179394 245514 256719 508283 513438 1016566 1454741 1524849 2481617 2909482 3049698 4364223 4963234 7444851 8728446 14889702 42187489 84374978 126562467 253124934