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252104544 = 2532875363
BaseRepresentation
bin11110000011011…
…00111101100000
3122120101020102100
433001230331200
51004014321134
641003250400
76150565446
oct1701547540
9576336370
10252104544
1111a34096a
1270519a00
13402cb5b3
14256a6b96
15171ec999
hexf06cf60

252104544 has 36 divisors (see below), whose sum is σ = 716923116. Its totient is φ = 84034752.

The previous prime is 252104491. The next prime is 252104549. The reversal of 252104544 is 445401252.

252104544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2521045442 = 127113402210895872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252104549) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 437394 + ... + 437969.

It is an arithmetic number, because the mean of its divisors is an integer number (19914531).

Almost surely, 2252104544 is an apocalyptic number.

252104544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252104544 is an abundant number, since it is smaller than the sum of its proper divisors (464818572).

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

252104544 is a wasteful number, since it uses less digits than its factorization.

252104544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875379 (or 875368 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 252104544 is about 15877.8003514341. The cubic root of 252104544 is about 631.7232939195.

Adding to 252104544 its reverse (445401252), we get a palindrome (697505796).

The spelling of 252104544 in words is "two hundred fifty-two million, one hundred four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 875363 1750726 2626089 3501452 5252178 7002904 7878267 10504356 14005808 15756534 21008712 28011616 31513068 42017424 63026136 84034848 126052272 252104544