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2525376264 = 233239474831
BaseRepresentation
bin1001011010000110…
…0010111100001000
320111222221101222020
42112201202330020
520132444020024
61054331324440
7116403226005
oct22641427410
96458841866
102525376264
111086566624
125a58b0720
133132759a8
1419d5788ac
15eba8e979
hex96862f08

2525376264 has 64 divisors (see below), whose sum is σ = 6596259840. Its totient is φ = 804175680.

The previous prime is 2525376257. The next prime is 2525376311. The reversal of 2525376264 is 4626735252.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 520329 + ... + 525159.

It is an arithmetic number, because the mean of its divisors is an integer number (103066560).

Almost surely, 22525376264 is an apocalyptic number.

2525376264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2525376264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298129920).

2525376264 is an abundant number, since it is smaller than the sum of its proper divisors (4070883576).

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

2525376264 is a wasteful number, since it uses less digits than its factorization.

2525376264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5810 (or 5806 counting only the distinct ones).

The product of its digits is 604800, while the sum is 42.

The square root of 2525376264 is about 50253.1219328710. The cubic root of 2525376264 is about 1361.7854764219.

The spelling of 2525376264 in words is "two billion, five hundred twenty-five million, three hundred seventy-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 947 1894 2841 3788 4831 5682 7576 9662 11364 14493 19324 21781 22728 28986 38648 43562 57972 65343 87124 111113 115944 130686 174248 222226 261372 333339 444452 522744 666678 888904 1333356 2666712 4574957 9149914 13724871 18299828 27449742 36599656 54899484 105224011 109798968 210448022 315672033 420896044 631344066 841792088 1262688132 2525376264