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252726920 = 23517093697
BaseRepresentation
bin11110001000001…
…00111010001000
3122121112212011022
433010010322020
51004144230140
641024452012
76156100115
oct1704047210
9577485138
10252726920
1111a726526
127077a008
1340488974
14257c990c
15172c20b5
hexf104e88

252726920 has 32 divisors (see below), whose sum is σ = 569122200. Its totient is φ = 101004288.

The previous prime is 252726917. The next prime is 252726937. The reversal of 252726920 is 29627252.

It can be written as a sum of positive squares in 4 ways, for example, as 104325796 + 148401124 = 10214^2 + 12182^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 66512 + ... + 70208.

Almost surely, 2252726920 is an apocalyptic number.

252726920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252726920 is an abundant number, since it is smaller than the sum of its proper divisors (316395280).

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

252726920 is a wasteful number, since it uses less digits than its factorization.

252726920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5417 (or 5413 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 252726920 is about 15897.3872067079. The cubic root of 252726920 is about 632.2427164199.

The spelling of 252726920 in words is "two hundred fifty-two million, seven hundred twenty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1709 3418 3697 6836 7394 8545 13672 14788 17090 18485 29576 34180 36970 68360 73940 147880 6318173 12636346 25272692 31590865 50545384 63181730 126363460 252726920