Search a number
-
+
57808728 = 2335131227
BaseRepresentation
bin1101110010000…
…1011101011000
311000202222200000
43130201131120
5104244334403
65423013000
71301236365
oct334413530
9130688600
1057808728
112a6a460a
121743a160
13bc90763
14796b46c
15511d7a3
hex3721758

57808728 has 96 divisors (see below), whose sum is σ = 164324160. Its totient is φ = 19038240.

The previous prime is 57808691. The next prime is 57808733. The reversal of 57808728 is 82780875.

It is a happy number.

57808728 is a `hidden beast` number, since 578 + 0 + 8 + 72 + 8 = 666.

57808728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 254551 + ... + 254777.

It is an arithmetic number, because the mean of its divisors is an integer number (1711710).

Almost surely, 257808728 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 57808728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82162080).

57808728 is an abundant number, since it is smaller than the sum of its proper divisors (106515432).

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

57808728 is a wasteful number, since it uses less digits than its factorization.

57808728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 57808728 is about 7603.2051136346. The cubic root of 57808728 is about 386.6616837778.

The spelling of 57808728 in words is "fifty-seven million, eight hundred eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 131 162 216 227 243 262 324 393 454 486 524 648 681 786 908 972 1048 1179 1362 1572 1816 1944 2043 2358 2724 3144 3537 4086 4716 5448 6129 7074 8172 9432 10611 12258 14148 16344 18387 21222 24516 28296 29737 31833 36774 42444 49032 55161 59474 63666 73548 84888 89211 110322 118948 127332 147096 178422 220644 237896 254664 267633 356844 441288 535266 713688 802899 1070532 1605798 2141064 2408697 3211596 4817394 6423192 7226091 9634788 14452182 19269576 28904364 57808728