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5245578400 = 25526556973
BaseRepresentation
bin1001110001010100…
…10010110010100000
3111112120110222210111
410320222102302200
541220332002100
62224302541104
7243663452326
oct47052226240
914476428714
105245578400
112251aa0767
121024897794
136579b385a
1437a949d16
1520a7b56ba
hex138a92ca0

5245578400 has 36 divisors (see below), whose sum is σ = 12805770222. Its totient is φ = 2098231040.

The previous prime is 5245578391. The next prime is 5245578407. The reversal of 5245578400 is 48755425.

It can be written as a sum of positive squares in 3 ways, for example, as 4582206864 + 663371536 = 67692^2 + 25756^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5245578407) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3277687 + ... + 3279286.

Almost surely, 25245578400 is an apocalyptic number.

5245578400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5245578400 is an abundant number, since it is smaller than the sum of its proper divisors (7560191822).

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

5245578400 is a wasteful number, since it uses less digits than its factorization.

5245578400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6556993 (or 6556980 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 40.

The square root of 5245578400 is about 72426.3653651072. The cubic root of 5245578400 is about 1737.5252616102.

The spelling of 5245578400 in words is "five billion, two hundred forty-five million, five hundred seventy-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 6556973 13113946 26227892 32784865 52455784 65569730 104911568 131139460 163924325 209823136 262278920 327848650 524557840 655697300 1049115680 1311394600 2622789200 5245578400