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5308941456 = 24327213311867
BaseRepresentation
bin1001111000111000…
…00000010010010000
3111200222201011120100
410330130000102100
541333042111311
62234445012400
7245363154300
oct47434002220
914628634510
105308941456
112284839325
121041b54100
13667b6a4a0
14385121600
1521112ea56
hex13c700490

5308941456 has 360 divisors, whose sum is σ = 19223602944. Its totient is φ = 1354268160.

The previous prime is 5308941431. The next prime is 5308941467. The reversal of 5308941456 is 6541498035.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2842635 + ... + 2844501.

Almost surely, 25308941456 is an apocalyptic number.

5308941456 is a gapful number since it is divisible by the number (56) 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 5308941456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9611801472).

5308941456 is an abundant number, since it is smaller than the sum of its proper divisors (13914661488).

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

5308941456 is a wasteful number, since it uses less digits than its factorization.

5308941456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5308941456 is about 72862.4831857932. The cubic root of 5308941456 is about 1744.4933251455.

The spelling of 5308941456 in words is "five billion, three hundred eight million, nine hundred forty-one thousand, four hundred fifty-six".