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5290835472 = 24321317312173
BaseRepresentation
bin1001110110101101…
…11011111000010000
3111122201122021211100
410323112323320100
541313423213342
62233000544400
7245053234206
oct47326737020
914581567740
105290835472
1122755a1aaa
121037a82100
1366419b1a0
1438296b076
1520e754e4c
hex13b5bbe10

5290835472 has 360 divisors, whose sum is σ = 17547048792. Its totient is φ = 1474191360.

The previous prime is 5290835471. The next prime is 5290835477. The reversal of 5290835472 is 2745380925.

5290835472 is a `hidden beast` number, since 5 + 29 + 0 + 83 + 547 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1614110976 + 3676724496 = 40176^2 + 60636^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5290835471) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30582778 + ... + 30582950.

Almost surely, 25290835472 is an apocalyptic number.

5290835472 is a gapful number since it is divisible by the number (52) 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 5290835472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8773524396).

5290835472 is an abundant number, since it is smaller than the sum of its proper divisors (12256213320).

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

5290835472 is a wasteful number, since it uses less digits than its factorization.

5290835472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5290835472 is about 72738.1294232949. The cubic root of 5290835472 is about 1742.5078857932.

The spelling of 5290835472 in words is "five billion, two hundred ninety million, eight hundred thirty-five thousand, four hundred seventy-two".