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5527445040 = 24325131931081
BaseRepresentation
bin1010010010111011…
…00001111000110000
3112021012212022010200
411021131201320300
542310011220130
62312252155200
7253655336055
oct51135417060
915235768120
105527445040
11238710a2a7
1210a3168b00
136a1202a50
143a615d02c
152253e1760
hex149761e30

5527445040 has 240 divisors, whose sum is σ = 21043757280. Its totient is φ = 1288949760.

The previous prime is 5527445039. The next prime is 5527445057. The reversal of 5527445040 is 405447255.

It is a happy number.

5527445040 is a `hidden beast` number, since 5 + 527 + 44 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 5527444986 and 5527445004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162300 + ... + 193380.

It is an arithmetic number, because the mean of its divisors is an integer number (87682322).

Almost surely, 25527445040 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 5527445040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10521878640).

5527445040 is an abundant number, since it is smaller than the sum of its proper divisors (15516312240).

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

5527445040 is a wasteful number, since it uses less digits than its factorization.

5527445040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31132 (or 31123 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The square root of 5527445040 is about 74346.7890362455. The cubic root of 5527445040 is about 1768.1053747859.

The spelling of 5527445040 in words is "five billion, five hundred twenty-seven million, four hundred forty-five thousand, forty".