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5260440625 = 5511199769
BaseRepresentation
bin1001110011000101…
…11111010000110001
3111120121110001221021
410321202333100301
541233133100000
62225553255441
7244234002406
oct47142772061
914517401837
105260440625
11225a4219a0
121029864581
1365aab857b
1437c8d82ad
1520bc4e11a
hex1398bf431

5260440625 has 48 divisors (see below), whose sum is σ = 7218288000. Its totient is φ = 3801600000.

The previous prime is 5260440599. The next prime is 5260440629.

5260440625 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5260440625 - 25 = 5260440593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5260440629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6840241 + ... + 6841009.

It is an arithmetic number, because the mean of its divisors is an integer number (150381000).

Almost surely, 25260440625 is an apocalyptic number.

5260440625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5260440625 is a deficient number, since it is larger than the sum of its proper divisors (1957847375).

5260440625 is an equidigital number, since it uses as much as digits as its factorization.

5260440625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 5260440625 is about 72528.8951039515. The cubic root of 5260440625 is about 1739.1646830608.

The spelling of 5260440625 in words is "five billion, two hundred sixty million, four hundred forty thousand, six hundred twenty-five".

Divisors: 1 5 11 25 55 125 199 275 625 769 995 1375 2189 3125 3845 4975 6875 8459 10945 19225 24875 34375 42295 54725 96125 124375 153031 211475 273625 480625 621875 765155 1057375 1368125 1683341 2403125 3825775 5286875 6840625 8416705 19128875 26434375 42083525 95644375 210417625 478221875 1052088125 5260440625