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57255336 = 2334149593
BaseRepresentation
bin1101101001101…
…0010110101000
310222201212120000
43122122112220
5104124132321
65403103000
71263443115
oct332322650
9128655500
1057255336
112a356866
1217211a60
13bb288c8
14786590c
15505e826
hex369a5a8

57255336 has 80 divisors (see below), whose sum is σ = 161716500. Its totient is φ = 18925056.

The previous prime is 57255301. The next prime is 57255343. The reversal of 57255336 is 63355275.

57255336 is a `hidden beast` number, since 5 + 72 + 553 + 36 = 666.

57255336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 55800900 + 1454436 = 7470^2 + 1206^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 57255336.

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 19 ways as a sum of consecutive naturals, for example, 96256 + ... + 96848.

Almost surely, 257255336 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 57255336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80858250).

57255336 is an abundant number, since it is smaller than the sum of its proper divisors (104461164).

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

57255336 is a wasteful number, since it uses less digits than its factorization.

57255336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 747 counting only the distinct ones).

The product of its digits is 94500, while the sum is 36.

The square root of 57255336 is about 7566.7255798000. The cubic root of 57255336 is about 385.4239126734.

The spelling of 57255336 in words is "fifty-seven million, two hundred fifty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 149 162 216 298 324 447 593 596 648 894 1186 1192 1341 1779 1788 2372 2682 3558 3576 4023 4744 5337 5364 7116 8046 10674 10728 12069 14232 16011 16092 21348 24138 32022 32184 42696 48033 48276 64044 88357 96066 96552 128088 176714 192132 265071 353428 384264 530142 706856 795213 1060284 1590426 2120568 2385639 3180852 4771278 6361704 7156917 9542556 14313834 19085112 28627668 57255336