Search a number
-
+
156292968 = 233131779373
BaseRepresentation
bin10010101000011…
…01011101101000
3101220002111122110
421110031131220
5310002333333
623301522320
73605316426
oct1124153550
9356074573
10156292968
1180250247
12444133a0
13264c3360
1416a86116
15dac4063
hex950d768

156292968 has 128 divisors (see below), whose sum is σ = 452390400. Its totient is φ = 44568576.

The previous prime is 156292967. The next prime is 156292973. The reversal of 156292968 is 869292651.

It is not an unprimeable number, because it can be changed into a prime (156292963) 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, 418830 + ... + 419202.

It is an arithmetic number, because the mean of its divisors is an integer number (3534300).

Almost surely, 2156292968 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 156292968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226195200).

156292968 is an abundant number, since it is smaller than the sum of its proper divisors (296097432).

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

156292968 is a wasteful number, since it uses less digits than its factorization.

156292968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 487 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 156292968 is about 12501.7186018563. The cubic root of 156292968 is about 538.6580395829.

The spelling of 156292968 in words is "one hundred fifty-six million, two hundred ninety-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 79 102 104 136 156 158 204 221 237 312 316 373 408 442 474 632 663 746 884 948 1027 1119 1326 1343 1492 1768 1896 2054 2238 2652 2686 2984 3081 4029 4108 4476 4849 5304 5372 6162 6341 8058 8216 8952 9698 10744 12324 12682 14547 16116 17459 19023 19396 24648 25364 29094 29467 32232 34918 38046 38792 50728 52377 58188 58934 69836 76092 82433 88401 104754 116376 117868 139672 152184 164866 176802 209508 235736 247299 329732 353604 383071 419016 494598 500939 659464 707208 766142 989196 1001878 1149213 1502817 1532284 1978392 2003756 2298426 3005634 3064568 4007512 4596852 6011268 6512207 9193704 12022536 13024414 19536621 26048828 39073242 52097656 78146484 156292968