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252747936 = 25327125371
BaseRepresentation
bin11110001000010…
…10000010100000
3122121120220222200
433010022002200
51004200413221
641025133200
76156215310
oct1704120240
9577526880
10252747936
1111a7402a1
127078a200
13404953bc
14257d3440
15172c8426
hexf10a0a0

252747936 has 72 divisors (see below), whose sum is σ = 821437344. Its totient is φ = 72213120.

The previous prime is 252747931. The next prime is 252747947. The reversal of 252747936 is 639747252.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 252747891 and 252747900.

It is not an unprimeable number, because it can be changed into a prime (252747931) 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, 60670 + ... + 64701.

It is an arithmetic number, because the mean of its divisors is an integer number (11408852).

Almost surely, 2252747936 is an apocalyptic number.

It is an amenable number.

252747936 is an abundant number, since it is smaller than the sum of its proper divisors (568689408).

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

252747936 is a wasteful number, since it uses less digits than its factorization.

252747936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125394 (or 125383 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 252747936 is about 15898.0481820883. The cubic root of 252747936 is about 632.2602410596.

The spelling of 252747936 in words is "two hundred fifty-two million, seven hundred forty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 125371 250742 376113 501484 752226 877597 1002968 1128339 1504452 1755194 2005936 2256678 2632791 3008904 3510388 4011872 4513356 5265582 6017808 7020776 7898373 9026712 10531164 12035616 14041552 15796746 18053424 21062328 28083104 31593492 36106848 42124656 63186984 84249312 126373968 252747936