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4075572480 = 28357316773
BaseRepresentation
bin1111001011101100…
…0100110100000000
3101112000220112101220
43302323010310000
531321321304410
61512225355040
7202665536340
oct36273046400
911460815356
104075572480
111801610a21
12958a98a80
134cc491765
142a93c6d20
1518cc02070
hexf2ec4d00

4075572480 has 576 divisors, whose sum is σ = 15798386688. Its totient is φ = 875888640.

The previous prime is 4075572439. The next prime is 4075572481. The reversal of 4075572480 is 842755704.

It is a super-2 number, since 2×40755724802 = 33220582079466700800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4075572481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55829724 + ... + 55829796.

Almost surely, 24075572480 is an apocalyptic number.

4075572480 is a gapful number since it is divisible by the number (40) 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 4075572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7899193344).

4075572480 is an abundant number, since it is smaller than the sum of its proper divisors (11722814208).

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

4075572480 is a wasteful number, since it uses less digits than its factorization.

4075572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The square root of 4075572480 is about 63840.2105259687. The cubic root of 4075572480 is about 1597.3357326789.

The spelling of 4075572480 in words is "four billion, seventy-five million, five hundred seventy-two thousand, four hundred eighty".