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57006894 = 2372712731
BaseRepresentation
bin1101100101110…
…1101100101110
310222021020202110
43121131230232
5104043210034
65353504450
71261356600
oct331355456
9128236673
1057006894
112a1a713a
1217112126
13ba6c7b9
1477dd170
155010de9
hex365db2e

57006894 has 48 divisors (see below), whose sum is σ = 134545536. Its totient is φ = 16052400.

The previous prime is 57006893. The next prime is 57006907. The reversal of 57006894 is 49860075.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57006893) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19509 + ... + 22239.

It is an arithmetic number, because the mean of its divisors is an integer number (2803032).

Almost surely, 257006894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57006894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67272768).

57006894 is an abundant number, since it is smaller than the sum of its proper divisors (77538642).

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

57006894 is a wasteful number, since it uses less digits than its factorization.

57006894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 57006894 is about 7550.2909877699. The cubic root of 57006894 is about 384.8656280383.

The spelling of 57006894 in words is "fifty-seven million, six thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 42 49 71 98 142 147 213 294 426 497 994 1491 2731 2982 3479 5462 6958 8193 10437 16386 19117 20874 38234 57351 114702 133819 193901 267638 387802 401457 581703 802914 1163406 1357307 2714614 4071921 8143842 9501149 19002298 28503447 57006894