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5425164800 = 29521153727
BaseRepresentation
bin1010000110101110…
…10111001000000000
3112000002101221000122
411003113113020000
542102320233200
62254200035412
7251304065666
oct50327271000
915002357018
105425164800
112334400680
121074a62b68
13685c713b3
14396736c36
1521b43b385
hex1435d7200

5425164800 has 240 divisors, whose sum is σ = 14960417472. Its totient is φ = 1932902400.

The previous prime is 5425164779. The next prime is 5425164847. The reversal of 5425164800 is 84615245.

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 23 ways as a sum of consecutive naturals, for example, 7462037 + ... + 7462763.

Almost surely, 25425164800 is an apocalyptic number.

5425164800 is a gapful number since it is divisible by the number (50) 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 5425164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480208736).

5425164800 is an abundant number, since it is smaller than the sum of its proper divisors (9535252672).

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

5425164800 is a wasteful number, since it uses less digits than its factorization.

5425164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 5425164800 is about 73655.7180400816. The cubic root of 5425164800 is about 1757.1316916344.

The spelling of 5425164800 in words is "five billion, four hundred twenty-five million, one hundred sixty-four thousand, eight hundred".