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5253897600 = 273352721773
BaseRepresentation
bin1001110010010100…
…00001110110000000
3111120011010122121000
410321022001312000
541224444210400
62225201132000
7244124251500
oct47112016600
914504118530
105253897600
112256763036
12102762a000
13659637363
1437bab3a00
1520b3aa600
hex139281d80

5253897600 has 1152 divisors, whose sum is σ = 24007168800. Its totient is φ = 1114767360.

The previous prime is 5253897581. The next prime is 5253897637. The reversal of 5253897600 is 67983525.

It is a happy number.

5253897600 is a `hidden beast` number, since 5 + 2 + 5 + 38 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71971164 + ... + 71971236.

Almost surely, 25253897600 is an apocalyptic number.

5253897600 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 5253897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12003584400).

5253897600 is an abundant number, since it is smaller than the sum of its proper divisors (18753271200).

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

5253897600 is a wasteful number, since it uses less digits than its factorization.

5253897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5253897600 is about 72483.7747361435. The cubic root of 5253897600 is about 1738.4433164151.

The spelling of 5253897600 in words is "five billion, two hundred fifty-three million, eight hundred ninety-seven thousand, six hundred".