Search a number
-
+
155045952 = 2632269177
BaseRepresentation
bin10010011110111…
…01000001000000
3101210202011001200
421033131001000
5304142432302
623215101200
73561604005
oct1117350100
9353664050
10155045952
117a579356
1243b11800
1326177889
141683d8ac
15d92981c
hex93dd040

155045952 has 42 divisors (see below), whose sum is σ = 444412878. Its totient is φ = 51681792.

The previous prime is 155045929. The next prime is 155045959. The reversal of 155045952 is 259540551.

155045952 is a `hidden beast` number, since 1 + 550 + 4 + 59 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103550976 + 51494976 = 10176^2 + 7176^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (155045959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 134013 + ... + 135164.

It is an arithmetic number, because the mean of its divisors is an integer number (10581259).

Almost surely, 2155045952 is an apocalyptic number.

155045952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

155045952 is an abundant number, since it is smaller than the sum of its proper divisors (289366926).

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

155045952 is a wasteful number, since it uses less digits than its factorization.

155045952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269195 (or 269182 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The square root of 155045952 is about 12451.7449379595. The cubic root of 155045952 is about 537.2216140528.

The spelling of 155045952 in words is "one hundred fifty-five million, forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 269177 538354 807531 1076708 1615062 2153416 2422593 3230124 4306832 4845186 6460248 8613664 9690372 12920496 17227328 19380744 25840992 38761488 51681984 77522976 155045952