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252524970 = 232517165049
BaseRepresentation
bin11110000110100…
…11100110101010
3122121011121010200
433003103212222
51004121244340
641020253030
76154266255
oct1703234652
9577147120
10252524970
1111a5a8825
12706a1176
1340417a79
142577609c
1517282330
hexf0d39aa

252524970 has 48 divisors (see below), whose sum is σ = 695190600. Its totient is φ = 63378432.

The previous prime is 252524969. The next prime is 252524971. The reversal of 252524970 is 79425252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252524969) and next prime (252524971).

It can be written as a sum of positive squares in 4 ways, for example, as 252523881 + 1089 = 15891^2 + 33^2 .

It is not an unprimeable number, because it can be changed into a prime (252524971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80995 + ... + 84054.

Almost surely, 2252524970 is an apocalyptic number.

252524970 is an abundant number, since it is smaller than the sum of its proper divisors (442665630).

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

252524970 is a wasteful number, since it uses less digits than its factorization.

252524970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165079 (or 165076 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 252524970 is about 15891.0342646412. The cubic root of 252524970 is about 632.0742665623.

It can be divided in two parts, 2525 and 24970, that added together give a triangular number (27495 = T234).

The spelling of 252524970 in words is "two hundred fifty-two million, five hundred twenty-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 165049 330098 495147 825245 990294 1485441 1650490 2475735 2805833 2970882 4951470 5611666 7427205 8417499 14029165 14854410 16834998 25252497 28058330 42087495 50504994 84174990 126262485 252524970