Search a number
-
+
57347808 = 2537611399
BaseRepresentation
bin1101101011000…
…0111011100000
310222220120101220
43122300323200
5104140112213
65405055040
71264306530
oct332607340
9128816356
1057347808
112a40a291
1217257480
13bb5ba1b
14788b4c0
15507be23
hex36b0ee0

57347808 has 96 divisors (see below), whose sum is σ = 174988800. Its totient is φ = 16104960.

The previous prime is 57347791. The next prime is 57347813. The reversal of 57347808 is 80874375.

57347808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 57347808.

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 15 ways as a sum of consecutive naturals, for example, 40293 + ... + 41691.

It is an arithmetic number, because the mean of its divisors is an integer number (1822800).

Almost surely, 257347808 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 57347808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87494400).

57347808 is an abundant number, since it is smaller than the sum of its proper divisors (117640992).

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

57347808 is a wasteful number, since it uses less digits than its factorization.

57347808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 57347808 is about 7572.8335515842. The cubic root of 57347808 is about 385.6312979996.

The spelling of 57347808 in words is "fifty-seven million, three hundred forty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 84 96 112 122 168 183 224 244 336 366 427 488 672 732 854 976 1281 1399 1464 1708 1952 2562 2798 2928 3416 4197 5124 5596 5856 6832 8394 9793 10248 11192 13664 16788 19586 20496 22384 29379 33576 39172 40992 44768 58758 67152 78344 85339 117516 134304 156688 170678 235032 256017 313376 341356 470064 512034 597373 682712 940128 1024068 1194746 1365424 1792119 2048136 2389492 2730848 3584238 4096272 4778984 7168476 8192544 9557968 14336952 19115936 28673904 57347808