Search a number
-
+
155902968 = 23351331199
BaseRepresentation
bin10010100101011…
…10001111111000
3101212100200200000
421102232033320
5304402343333
623245313000
73602103414
oct1122561770
9355320600
10155902968
1180004231
1244265760
13263b79a0
14169c3d44
15da48713
hex94ae3f8

155902968 has 192 divisors, whose sum is σ = 489216000. Its totient is φ = 46189440.

The previous prime is 155902939. The next prime is 155902987. The reversal of 155902968 is 869209551.

155902968 is a `hidden beast` number, since 1 + 559 + 0 + 2 + 96 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 783333 + ... + 783531.

It is an arithmetic number, because the mean of its divisors is an integer number (2548000).

Almost surely, 2155902968 is an apocalyptic number.

155902968 is a gapful number since it is divisible by the number (18) 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 155902968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244608000).

155902968 is an abundant number, since it is smaller than the sum of its proper divisors (333313032).

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

155902968 is a wasteful number, since it uses less digits than its factorization.

155902968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 155902968 is about 12486.1110038314. Note that the first 3 decimals coincide. The cubic root of 155902968 is about 538.2096261184.

The spelling of 155902968 in words is "one hundred fifty-five million, nine hundred two thousand, nine hundred sixty-eight".