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57001938 = 23719611171
BaseRepresentation
bin1101100101110…
…0011111010010
310222020222221220
43121130133102
5104043030223
65353425510
71261336260
oct331343722
9128228856
1057001938
112a1a3444
121710b296
13ba6a476
1477db430
15500e6e3
hex365c7d2

57001938 has 64 divisors (see below), whose sum is σ = 139514880. Its totient is φ = 15163200.

The previous prime is 57001933. The next prime is 57001939. The reversal of 57001938 is 83910075.

It is a junction number, because it is equal to n+sod(n) for n = 57001899 and 57001908.

It is not an unprimeable number, because it can be changed into a prime (57001933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48093 + ... + 49263.

It is an arithmetic number, because the mean of its divisors is an integer number (2179920).

Almost surely, 257001938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57001938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69757440).

57001938 is an abundant number, since it is smaller than the sum of its proper divisors (82512942).

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

57001938 is a wasteful number, since it uses less digits than its factorization.

57001938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 57001938 is about 7549.9627813652. The cubic root of 57001938 is about 384.8544747129.

The spelling of 57001938 in words is "fifty-seven million, one thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 61 114 122 133 183 266 366 399 427 798 854 1159 1171 1281 2318 2342 2562 3477 3513 6954 7026 8113 8197 16226 16394 22249 24339 24591 44498 48678 49182 66747 71431 133494 142862 155743 214293 311486 428586 467229 500017 934458 1000034 1357189 1500051 2714378 3000102 4071567 8143134 9500323 19000646 28500969 57001938