Search a number
-
+
252488520 = 23325701357
BaseRepresentation
bin11110000110010…
…10101101001000
3122121002202010200
433003022231020
51004114113040
641015412200
76154055064
oct1703125510
9577082120
10252488520
1111a5833a9
1270684060
13404042bb
1425766aa4
1517276630
hexf0cab48

252488520 has 48 divisors (see below), whose sum is σ = 820588860. Its totient is φ = 67330176.

The previous prime is 252488519. The next prime is 252488527. The reversal of 252488520 is 25884252.

252488520 is a `hidden beast` number, since 2 + 52 + 4 + 88 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 245423556 + 7064964 = 15666^2 + 2658^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252488527) 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, 350319 + ... + 351038.

Almost surely, 2252488520 is an apocalyptic number.

252488520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252488520 is an abundant number, since it is smaller than the sum of its proper divisors (568100340).

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

252488520 is a wasteful number, since it uses less digits than its factorization.

252488520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701374 (or 701367 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 252488520 is about 15889.8873501356. The cubic root of 252488520 is about 632.0438534437.

The spelling of 252488520 in words is "two hundred fifty-two million, four hundred eighty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 701357 1402714 2104071 2805428 3506785 4208142 5610856 6312213 7013570 8416284 10520355 12624426 14027140 16832568 21040710 25248852 28054280 31561065 42081420 50497704 63122130 84162840 126244260 252488520