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5572607040 = 26325711131933
BaseRepresentation
bin1010011000010011…
…10011110001000000
3112101100211202202100
411030021303301000
542403041411130
62320544150400
7255044243520
oct51411636100
915340752670
105572607040
1123aa656170
1210b6308400
136aa686020
143ac157680
15229362c60
hex14c273c40

5572607040 has 672 divisors, whose sum is σ = 25748626176. Its totient is φ = 1068318720.

The previous prime is 5572607039. The next prime is 5572607041. The reversal of 5572607040 is 407062755.

5572607040 is a `hidden beast` number, since 5 + 5 + 7 + 2 + 607 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5572607039) and next prime (5572607041).

It is a tau number, because it is divible by the number of its divisors (672).

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 = 5572606986 and 5572607004.

It is not an unprimeable number, because it can be changed into a prime (5572607041) 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 95 ways as a sum of consecutive naturals, for example, 2881914 + ... + 2883846.

It is an arithmetic number, because the mean of its divisors is an integer number (38316408).

Almost surely, 25572607040 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 5572607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12874313088).

5572607040 is an abundant number, since it is smaller than the sum of its proper divisors (20176019136).

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

5572607040 is a wasteful number, since it uses less digits than its factorization.

5572607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 5572607040 is about 74649.8964500286. The cubic root of 5572607040 is about 1772.9077552374.

Adding to 5572607040 its reverse (407062755), we get a palindrome (5979669795).

The spelling of 5572607040 in words is "five billion, five hundred seventy-two million, six hundred seven thousand, forty".