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57628011 = 3717337479
BaseRepresentation
bin1101101111010…
…1010101101011
311000102210202210
43123311111223
5104223044021
65415100203
71266554460
oct333652553
9130383683
1057628011
112a590861
1217371663
13bc2941c
147921667
1550d4e76
hex36f556b

57628011 has 32 divisors (see below), whose sum is σ = 93450240. Its totient is φ = 30836736.

The previous prime is 57628009. The next prime is 57628019. The reversal of 57628011 is 11082675.

It is not a de Polignac number, because 57628011 - 21 = 57628009 is a prime.

It is a super-2 number, since 2×576280112 = 6641975303632242, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57628011.

It is not an unprimeable number, because it can be changed into a prime (57628019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120070 + ... + 120548.

It is an arithmetic number, because the mean of its divisors is an integer number (2920320).

Almost surely, 257628011 is an apocalyptic number.

57628011 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

57628011 is a deficient number, since it is larger than the sum of its proper divisors (35822229).

57628011 is a wasteful number, since it uses less digits than its factorization.

57628011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843.

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 57628011 is about 7591.3115467619. The cubic root of 57628011 is about 386.2583462970.

The spelling of 57628011 in words is "fifty-seven million, six hundred twenty-eight thousand, eleven".

Divisors: 1 3 7 17 21 51 119 337 357 479 1011 1437 2359 3353 5729 7077 8143 10059 17187 24429 40103 57001 120309 161423 171003 484269 1129961 2744191 3389883 8232573 19209337 57628011