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5220607392 = 25327211132199
BaseRepresentation
bin1001101110010110…
…00010010110100000
3111110211111100000100
410313023002112200
541142433414032
62222011422400
7243241300500
oct46713022640
914424440010
105220607392
112239995670
121018454a00
1365277c900
143774c9a00
152084d197c
hex1372c25a0

5220607392 has 648 divisors, whose sum is σ = 20503173600. Its totient is φ = 1245404160.

The previous prime is 5220607363. The next prime is 5220607417. The reversal of 5220607392 is 2937060225.

5220607392 is a `hidden beast` number, since 522 + 0 + 60 + 73 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26234109 + ... + 26234307.

It is an arithmetic number, because the mean of its divisors is an integer number (31640700).

Almost surely, 25220607392 is an apocalyptic number.

5220607392 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 5220607392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10251586800).

5220607392 is an abundant number, since it is smaller than the sum of its proper divisors (15282566208).

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

5220607392 is a wasteful number, since it uses less digits than its factorization.

5220607392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 5220607392 is about 72253.7707804928. The cubic root of 5220607392 is about 1734.7637747524.

The spelling of 5220607392 in words is "five billion, two hundred twenty million, six hundred seven thousand, three hundred ninety-two".