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153252112 = 24137310093
BaseRepresentation
bin10010010001001…
…11000100010000
3101200101000101011
421020213010100
5303213031422
623112420304
73540423106
oct1110470420
9350330334
10153252112
1179563642
12433a7694
132599a230
14164d3c76
15d6c3077
hex9227110

153252112 has 40 divisors (see below), whose sum is σ = 324178904. Its totient is φ = 69755904.

The previous prime is 153252107. The next prime is 153252131. The reversal of 153252112 is 211252351.

It can be written as a sum of positive squares in 4 ways, for example, as 8386816 + 144865296 = 2896^2 + 12036^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10138 + ... + 20230.

Almost surely, 2153252112 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 153252112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162089452).

153252112 is an abundant number, since it is smaller than the sum of its proper divisors (170926792).

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

153252112 is a wasteful number, since it uses less digits than its factorization.

153252112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10187 (or 10181 counting only the distinct ones).

The product of its digits is 600, while the sum is 22.

The square root of 153252112 is about 12379.5037057226. The cubic root of 153252112 is about 535.1417355278.

The spelling of 153252112 in words is "one hundred fifty-three million, two hundred fifty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 73 104 146 208 292 584 949 1168 1898 3796 7592 10093 15184 20186 40372 80744 131209 161488 262418 524836 736789 1049672 1473578 2099344 2947156 5894312 9578257 11788624 19156514 38313028 76626056 153252112