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153149549 = 7217374969
BaseRepresentation
bin10010010000011…
…10000001101101
3101200011210200112
421020032001231
5303201241144
623110305405
73536515100
oct1110160155
9350153615
10153149549
11794a3583
1243358265
1325962647
14164a8737
15d6a299e
hex920e06d

153149549 has 24 divisors (see below), whose sum is σ = 193770360. Its totient is φ = 120185856.

The previous prime is 153149543. The next prime is 153149561. The reversal of 153149549 is 945941351.

It can be written as a sum of positive squares in 4 ways, for example, as 49984900 + 103164649 = 7070^2 + 10157^2 .

It is not a de Polignac number, because 153149549 - 24 = 153149533 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153149543) 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 23 ways as a sum of consecutive naturals, for example, 28337 + ... + 33305.

It is an arithmetic number, because the mean of its divisors is an integer number (8073765).

Almost surely, 2153149549 is an apocalyptic number.

It is an amenable number.

153149549 is a deficient number, since it is larger than the sum of its proper divisors (40620811).

153149549 is a wasteful number, since it uses less digits than its factorization.

153149549 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5037 (or 5030 counting only the distinct ones).

The product of its digits is 97200, while the sum is 41.

The square root of 153149549 is about 12375.3605604039. The cubic root of 153149549 is about 535.0223288203.

The spelling of 153149549 in words is "one hundred fifty-three million, one hundred forty-nine thousand, five hundred forty-nine".

Divisors: 1 7 17 37 49 119 259 629 833 1813 4403 4969 30821 34783 84473 183853 243481 591311 1286971 3125501 4139177 9008797 21878507 153149549