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5604580608 = 283112411471
BaseRepresentation
bin1010011100000111…
…10001110100000000
3112110121000012020120
411032003301310000
542434233034413
62324045340240
7255613102104
oct51603616400
915417005216
105604580608
112416704400
121104b67680
136b419c3b3
143b24bb904
1522c07b723
hex14e0f1d00

5604580608 has 216 divisors, whose sum is σ = 16806978048. Its totient is φ = 1655808000.

The previous prime is 5604580601. The next prime is 5604580627. The reversal of 5604580608 is 8060854065.

It is a super-2 number, since 2×56045806082 = 62822647583139299328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5604580608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5604580601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3809313 + ... + 3810783.

Almost surely, 25604580608 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 5604580608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8403489024).

5604580608 is an abundant number, since it is smaller than the sum of its proper divisors (11202397440).

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

5604580608 is a wasteful number, since it uses less digits than its factorization.

5604580608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 5604580608 is about 74863.7469540498. The cubic root of 5604580608 is about 1776.2920548840.

The spelling of 5604580608 in words is "five billion, six hundred four million, five hundred eighty thousand, six hundred eight".