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4475907072 = 21034713593
BaseRepresentation
bin1000010101100100…
…01110110000000000
3102112221012122020000
410022302032300000
533131313011242
62020050120000
7215626403520
oct41262166000
912487178200
104475907072
11199759525a
12a4ab80000
135643bc430
14306637680
151b2e2ea4c
hex10ac8ec00

4475907072 has 440 divisors, whose sum is σ = 16478120736. Its totient is φ = 1178468352.

The previous prime is 4475907047. The next prime is 4475907091. The reversal of 4475907072 is 2707095744.

It is a super-2 number, since 2×44759070722 = 40067488234359226368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7547608 + ... + 7548200.

Almost surely, 24475907072 is an apocalyptic number.

4475907072 is a gapful number since it is divisible by the number (42) 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 4475907072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8239060368).

4475907072 is an abundant number, since it is smaller than the sum of its proper divisors (12002213664).

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

4475907072 is a wasteful number, since it uses less digits than its factorization.

4475907072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 4475907072 is about 66902.2202322165. The cubic root of 4475907072 is about 1648.0119394617.

The spelling of 4475907072 in words is "four billion, four hundred seventy-five million, nine hundred seven thousand, seventy-two".