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5289403392 = 2103272131753
BaseRepresentation
bin1001110110100010…
…11110010000000000
3111122121221112101100
410323101132100000
541313041402032
62232510134400
7245035121100
oct47321362000
914577845340
105289403392
112274804069
1210374b1400
13663ab93c0
143826b7200
1520e57097c
hex13b45e400

5289403392 has 792 divisors, whose sum is σ = 20640981816. Its totient is φ = 1288175616.

The previous prime is 5289403387. The next prime is 5289403447. The reversal of 5289403392 is 2933049825.

It is a happy number.

5289403392 is a `hidden beast` number, since 528 + 9 + 4 + 0 + 33 + 92 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1040449536 + 4248953856 = 32256^2 + 65184^2 .

It is a super-2 number, since 2×52894033922 = 55955576486602211328, which contains 22 as substring.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 99800038 + ... + 99800090.

Almost surely, 25289403392 is an apocalyptic number.

5289403392 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 5289403392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10320490908).

5289403392 is an abundant number, since it is smaller than the sum of its proper divisors (15351578424).

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

5289403392 is a wasteful number, since it uses less digits than its factorization.

5289403392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5289403392 is about 72728.2846765961. The cubic root of 5289403392 is about 1742.3506556868.

The spelling of 5289403392 in words is "five billion, two hundred eighty-nine million, four hundred three thousand, three hundred ninety-two".