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2582632340 = 225129131617
BaseRepresentation
bin1001100111101111…
…1101011110010100
320122222200022112122
42121323331132110
520242123213330
61104134435112
7121000004231
oct23173753624
96588608478
102582632340
1111059129a2
12600b02a98
133220a1a22
141a7000788
15101aee5e5
hex99efd794

2582632340 has 12 divisors (see below), whose sum is σ = 5423527956. Its totient is φ = 1033052928.

The previous prime is 2582632319. The next prime is 2582632363. The reversal of 2582632340 is 432362852.

It can be written as a sum of positive squares in 2 ways, for example, as 949502596 + 1633129744 = 30814^2 + 40412^2 .

It is a super-2 number, since 2×25826323402 = 13339979607227751200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2582632340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64565789 + ... + 64565828.

It is an arithmetic number, because the mean of its divisors is an integer number (451960663).

Almost surely, 22582632340 is an apocalyptic number.

2582632340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2582632340 is an abundant number, since it is smaller than the sum of its proper divisors (2840895616).

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

2582632340 is a wasteful number, since it uses less digits than its factorization.

2582632340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129131626 (or 129131624 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 2582632340 is about 50819.6058623048. The cubic root of 2582632340 is about 1372.0002642039. Note that the first 3 decimals are identical.

The spelling of 2582632340 in words is "two billion, five hundred eighty-two million, six hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 129131617 258263234 516526468 645658085 1291316170 2582632340