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252737628 = 2231113147283
BaseRepresentation
bin11110001000001…
…11100001011100
3122121120101211220
433010013201130
51004200101003
641025013340
76156143253
oct1704074134
9577511756
10252737628
1111a733580
1270784250
13404907c0
14257cd79a
15172c5353
hexf10785c

252737628 has 48 divisors (see below), whose sum is σ = 692823936. Its totient is φ = 70695360.

The previous prime is 252737591. The next prime is 252737629. The reversal of 252737628 is 826737252.

It is a self number, because there is not a number n which added to its sum of digits gives 252737628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252737629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71926 + ... + 75357.

It is an arithmetic number, because the mean of its divisors is an integer number (14433832).

Almost surely, 2252737628 is an apocalyptic number.

It is an amenable number.

252737628 is an abundant number, since it is smaller than the sum of its proper divisors (440086308).

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

252737628 is a wasteful number, since it uses less digits than its factorization.

252737628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147314 (or 147312 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 252737628 is about 15897.7239880431. The cubic root of 252737628 is about 632.2516456354.

The spelling of 252737628 in words is "two hundred fifty-two million, seven hundred thirty-seven thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 147283 294566 441849 589132 883698 1620113 1767396 1914679 3240226 3829358 4860339 5744037 6480452 7658716 9720678 11488074 19441356 21061469 22976148 42122938 63184407 84245876 126368814 252737628