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57734586 = 23371331379
BaseRepresentation
bin1101110000111…
…1010110111010
311000122012222000
43130033112322
5104240001321
65421241430
71300510260
oct334172672
9130565860
1057734586
112a653938
1217403276
13bc65aa0
14794c430
155106826
hex370f5ba

57734586 has 128 divisors (see below), whose sum is σ = 163430400. Its totient is φ = 14696640.

The previous prime is 57734557. The next prime is 57734587. The reversal of 57734586 is 68543775.

It is a super-4 number, since 4×577345864 (a number of 32 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (705600) is a multiple of the sum of its prime factors (441).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57734587) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152145 + ... + 152523.

It is an arithmetic number, because the mean of its divisors is an integer number (1276800).

Almost surely, 257734586 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57734586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81715200).

57734586 is an abundant number, since it is smaller than the sum of its proper divisors (105695814).

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

57734586 is a wasteful number, since it uses less digits than its factorization.

57734586 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 435 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 57734586 is about 7598.3278423611. The cubic root of 57734586 is about 386.4963100462.

The spelling of 57734586 in words is "fifty-seven million, seven hundred thirty-four thousand, five hundred eighty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 31 39 42 54 62 63 78 91 93 117 126 182 186 189 217 234 273 279 351 378 379 403 434 546 558 651 702 758 806 819 837 1137 1209 1302 1638 1674 1953 2274 2418 2457 2653 2821 3411 3627 3906 4914 4927 5306 5642 5859 6822 7254 7959 8463 9854 10233 10881 11718 11749 14781 15918 16926 20466 21762 23498 23877 25389 29562 34489 35247 44343 47754 50778 68978 70494 71631 76167 82243 88686 103467 105741 133029 143262 152334 152737 164486 206934 211482 246729 266058 305474 310401 317223 458211 493458 620802 634446 740187 916422 931203 1069159 1374633 1480374 1862406 2138318 2220561 2749266 3207477 4123899 4441122 6414954 8247798 9622431 19244862 28867293 57734586