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57836268 = 2234723643
BaseRepresentation
bin1101110010100…
…0001011101100
311000211101110000
43130220023230
5104301230033
65423344300
71301412600
oct334501354
9130741400
1057836268
112a713276
1217452090
13bca0159
147977500
155126a13
hex37282ec

57836268 has 90 divisors (see below), whose sum is σ = 175928676. Its totient is φ = 16520112.

The previous prime is 57836257. The next prime is 57836279. The reversal of 57836268 is 86263875.

57836268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57836257) and next prime (57836279).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14055 + ... + 17697.

Almost surely, 257836268 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 57836268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87964338).

57836268 is an abundant number, since it is smaller than the sum of its proper divisors (118092408).

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

57836268 is a wasteful number, since it uses less digits than its factorization.

57836268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3655 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 57836268 is about 7605.0159763146. The cubic root of 57836268 is about 386.7230757312.

The spelling of 57836268 in words is "fifty-seven million, eight hundred thirty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3643 3969 5292 7286 7938 10929 14572 15876 21858 25501 32787 43716 51002 65574 76503 98361 102004 131148 153006 178507 196722 229509 295083 306012 357014 393444 459018 535521 590166 688527 714028 918036 1071042 1180332 1377054 1606563 2065581 2142084 2754108 3213126 4131162 4819689 6426252 8262324 9639378 14459067 19278756 28918134 57836268