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5857556040 = 2333572172383
BaseRepresentation
bin1010111010010001…
…10011011001001000
3120010020000200022000
411131020303121020
543444013243130
62405123431000
7265104255600
oct53510633110
916106020260
105857556040
11253648a606
121175825460
137247141bb
143d7d2dc00
1524439c260
hex15d233648

5857556040 has 576 divisors, whose sum is σ = 24190617600. Its totient is φ = 1256822784.

The previous prime is 5857556021. The next prime is 5857556053. The reversal of 5857556040 is 406557585.

5857556040 is a `hidden beast` number, since 5 + 8 + 57 + 556 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15293689 + ... + 15294071.

It is an arithmetic number, because the mean of its divisors is an integer number (41997600).

Almost surely, 25857556040 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 5857556040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12095308800).

5857556040 is an abundant number, since it is smaller than the sum of its proper divisors (18333061560).

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

5857556040 is a wasteful number, since it uses less digits than its factorization.

5857556040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The square root of 5857556040 is about 76534.6721427615. The cubic root of 5857556040 is about 1802.6253910947.

The spelling of 5857556040 in words is "five billion, eight hundred fifty-seven million, five hundred fifty-six thousand, forty".