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153248148 = 223219224047
BaseRepresentation
bin10010010001001…
…10000110010100
3101200100210221100
421020212012110
5303212420043
623112350100
73540405414
oct1110460624
9350323840
10153248148
1179560669
12433a5330
13259984a1
14164d2644
15d6c1cd3
hex9226194

153248148 has 36 divisors (see below), whose sum is σ = 407767360. Its totient is φ = 48393936.

The previous prime is 153248143. The next prime is 153248197. The reversal of 153248148 is 841842351.

153248148 is a `hidden beast` number, since 1 + 532 + 4 + 81 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153248143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111340 + ... + 112707.

Almost surely, 2153248148 is an apocalyptic number.

153248148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

153248148 is an abundant number, since it is smaller than the sum of its proper divisors (254519212).

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

153248148 is a wasteful number, since it uses less digits than its factorization.

153248148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224076 (or 224071 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 153248148 is about 12379.3436013385. The cubic root of 153248148 is about 535.1371215183.

The spelling of 153248148 in words is "one hundred fifty-three million, two hundred forty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 224047 448094 672141 896188 1344282 2016423 2688564 4032846 4256893 8065692 8513786 12770679 17027572 25541358 38312037 51082716 76624074 153248148