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131502752 = 2517534561
BaseRepresentation
bin1111101011010…
…01001010100000
3100011110000212022
413311221022200
5232131042002
621014321012
73154516643
oct765511240
9304400768
10131502752
1168258a67
1238059168
13213237a4
1413671a5a
15b828ba2
hex7d692a0

131502752 has 48 divisors (see below), whose sum is σ = 279358632. Its totient is φ = 60702720.

The previous prime is 131502697. The next prime is 131502779. The reversal of 131502752 is 257205131.

It can be written as a sum of positive squares in 4 ways, for example, as 125529616 + 5973136 = 11204^2 + 2444^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 26552 + ... + 31112.

Almost surely, 2131502752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131502752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139679316).

131502752 is an abundant number, since it is smaller than the sum of its proper divisors (147855880).

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

131502752 is a wasteful number, since it uses less digits than its factorization.

131502752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 131502752 is about 11467.4649334541. The cubic root of 131502752 is about 508.5241866410.

Adding to 131502752 its reverse (257205131), we get a palindrome (388707883).

The spelling of 131502752 in words is "one hundred thirty-one million, five hundred two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 53 68 106 136 212 272 424 544 848 901 1696 1802 3604 4561 7208 9122 14416 18244 28832 36488 72976 77537 145952 155074 241733 310148 483466 620296 966932 1240592 1933864 2481184 3867728 4109461 7735456 8218922 16437844 32875688 65751376 131502752