Search a number
-
+
155608992 = 25337112339
BaseRepresentation
bin10010100011001…
…10011110100000
3101211210202102000
421101212132200
5304313441432
623235124000
73566440350
oct1121463640
9354722360
10155608992
117a923380
1244143600
1326313c36
1416948b60
15d9db57c
hex94667a0

155608992 has 192 divisors, whose sum is σ = 566092800. Its totient is φ = 40400640.

The previous prime is 155608991. The next prime is 155608997. The reversal of 155608992 is 299806551.

155608992 is a `hidden beast` number, since 1 + 5 + 560 + 89 + 9 + 2 = 666.

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 (155608991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65359 + ... + 67697.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2155608992 is an apocalyptic number.

155608992 is a gapful number since it is divisible by the number (12) 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 155608992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283046400).

155608992 is an abundant number, since it is smaller than the sum of its proper divisors (410483808).

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

155608992 is a wasteful number, since it uses less digits than its factorization.

155608992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2362 counting only the distinct ones).

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

The square root of 155608992 is about 12474.3333288797. Note that the first 4 decimals coincide. The cubic root of 155608992 is about 537.8711244033.

The spelling of 155608992 in words is "one hundred fifty-five million, six hundred eight thousand, nine hundred ninety-two".