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57839652 = 223213731693
BaseRepresentation
bin1101110010100…
…1000000100100
311000211120002100
43130221000210
5104301332102
65423412100
71301425503
oct334510044
9130746070
1057839652
112a715872
1217454030
13bca1860
14797883a
155127a1c
hex3729024

57839652 has 72 divisors (see below), whose sum is σ = 159703544. Its totient is φ = 17542656.

The previous prime is 57839633. The next prime is 57839669. The reversal of 57839652 is 25693875.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1679616 + 56160036 = 1296^2 + 7494^2 .

It is a super-2 number, since 2×578396522 = 6690850686962208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57839598 and 57839607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33318 + ... + 35010.

Almost surely, 257839652 is an apocalyptic number.

57839652 is a gapful number since it is divisible by the number (52) 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 57839652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79851772).

57839652 is an abundant number, since it is smaller than the sum of its proper divisors (101863892).

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

57839652 is a wasteful number, since it uses less digits than its factorization.

57839652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1784 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 57839652 is about 7605.2384578000. The cubic root of 57839652 is about 386.7306179731.

The spelling of 57839652 in words is "fifty-seven million, eight hundred thirty-nine thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 73 78 117 146 156 219 234 292 438 468 657 876 949 1314 1693 1898 2628 2847 3386 3796 5079 5694 6772 8541 10158 11388 15237 17082 20316 22009 30474 34164 44018 60948 66027 88036 123589 132054 198081 247178 264108 370767 396162 494356 741534 792324 1112301 1483068 1606657 2224602 3213314 4449204 4819971 6426628 9639942 14459913 19279884 28919826 57839652