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57105204 = 22313438513
BaseRepresentation
bin1101100111010…
…1101100110100
310222110020121120
43121311230310
5104104331304
65355543540
71262246322
oct331655464
9128406546
1057105204
112a263a92
121715abb0
13baa5480
147826d12
1550300d9
hex3675b34

57105204 has 48 divisors (see below), whose sum is σ = 146849472. Its totient is φ = 17160192.

The previous prime is 57105197. The next prime is 57105233. The reversal of 57105204 is 40250175.

It is a super-2 number, since 2×571052042 = 6522008647763232, 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 15 ways as a sum of consecutive naturals, for example, 2452 + ... + 10964.

It is an arithmetic number, because the mean of its divisors is an integer number (3059364).

Almost surely, 257105204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57105204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73424736).

57105204 is an abundant number, since it is smaller than the sum of its proper divisors (89744268).

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

57105204 is a wasteful number, since it uses less digits than its factorization.

57105204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8576 (or 8574 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 57105204 is about 7556.7985284775. The cubic root of 57105204 is about 385.0867382014.

Adding to 57105204 its reverse (40250175), we get a palindrome (97355379).

The spelling of 57105204 in words is "fifty-seven million, one hundred five thousand, two hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 516 559 1118 1677 2236 3354 6708 8513 17026 25539 34052 51078 102156 110669 221338 332007 366059 442676 664014 732118 1098177 1328028 1464236 2196354 4392708 4758767 9517534 14276301 19035068 28552602 57105204