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2057088352 = 2511192343311
BaseRepresentation
bin111101010011100…
…1010110101100000
312022100202220201111
41322213022311200
513203103311402
6540042313104
7101655651064
oct17247126540
95270686644
102057088352
11966199a20
12494ab8794
1326a244c57
141572b9aa4
15c08dc9d7

2057088352 has 192 divisors, whose sum is σ = 4981616640. Its totient is φ = 824947200.

The previous prime is 2057088331. The next prime is 2057088361. The reversal of 2057088352 is 2538807502.

It is a super-2 number, since 2×20570883522 = 8463224975868151808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6614277 + ... + 6614587.

It is an arithmetic number, because the mean of its divisors is an integer number (25945920).

Almost surely, 22057088352 is an apocalyptic number.

2057088352 is a gapful number since it is divisible by the number (22) 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 2057088352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490808320).

2057088352 is an abundant number, since it is smaller than the sum of its proper divisors (2924528288).

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

2057088352 is a wasteful number, since it uses less digits than its factorization.

2057088352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 2057088352 is about 45355.1358944056. The cubic root of 2057088352 is about 1271.7965670207.

The spelling of 2057088352 in words is "two billion, fifty-seven million, eighty-eight thousand, three hundred fifty-two".