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5479052040 = 2332571119101103
BaseRepresentation
bin1010001101001001…
…11011001100001000
3112010211210200102100
411012210323030020
542210114131130
62303403033400
7252530113440
oct50644731410
915124720370
105479052040
112361866990
12108ab0b860
1369418ac37
1439d963120
15221032c60
hex14693b308

5479052040 has 768 divisors, whose sum is σ = 23829811200. Its totient is φ = 1057536000.

The previous prime is 5479052027. The next prime is 5479052069. The reversal of 5479052040 is 402509745.

5479052040 is a `hidden beast` number, since 5 + 4 + 7 + 90 + 520 + 40 = 666.

It is a super-2 number, since 2×54790520402 = 60040022514056323200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5479051986 and 5479052004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53194629 + ... + 53194731.

It is an arithmetic number, because the mean of its divisors is an integer number (31028400).

Almost surely, 25479052040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5479052040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11914905600).

5479052040 is an abundant number, since it is smaller than the sum of its proper divisors (18350759160).

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

5479052040 is a wasteful number, since it uses less digits than its factorization.

5479052040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5479052040 is about 74020.6190192976. The cubic root of 5479052040 is about 1762.9302984388.

It can be divided in two parts, 547905 and 2040, that added together give a palindrome (549945).

The spelling of 5479052040 in words is "five billion, four hundred seventy-nine million, fifty-two thousand, forty".