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252420552 = 23328294229
BaseRepresentation
bin11110000101110…
…10000111001000
3122120222021220100
433002322013020
51004104424202
641014125400
76153352656
oct1702720710
9576867810
10252420552
1111a53732a
1270650860
13403ac397
1425749dd6
151726141c
hexf0ba1c8

252420552 has 48 divisors (see below), whose sum is σ = 684625500. Its totient is φ = 84018816.

The previous prime is 252420551. The next prime is 252420577. The reversal of 252420552 is 255024252.

It can be written as a sum of positive squares in 2 ways, for example, as 214153956 + 38266596 = 14634^2 + 6186^2 .

It is a super-2 number, since 2×2524205522 = 127432270143969408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252420551) 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 11 ways as a sum of consecutive naturals, for example, 57574 + ... + 61802.

Almost surely, 2252420552 is an apocalyptic number.

It is an amenable number.

252420552 is an abundant number, since it is smaller than the sum of its proper divisors (432204948).

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

252420552 is a wasteful number, since it uses less digits than its factorization.

252420552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070 (or 5063 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 252420552 is about 15887.7484874352. The cubic root of 252420552 is about 631.9871345456.

The spelling of 252420552 in words is "two hundred fifty-two million, four hundred twenty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 829 1658 2487 3316 4229 4974 6632 7461 8458 9948 12687 14922 16916 19896 25374 29844 33832 38061 50748 59688 76122 101496 152244 304488 3505841 7011682 10517523 14023364 21035046 28046728 31552569 42070092 63105138 84140184 126210276 252420552