Search a number
-
+
56340928 = 267196619
BaseRepresentation
bin1101011011101…
…1000111000000
310221000102020001
43112323013000
5103410402203
65331325344
71252614160
oct326730700
9127012201
1056340928
1129891856
1216a50854
13b898637
1476a85a0
154e2d91d
hex35bb1c0

56340928 has 56 divisors (see below), whose sum is σ = 134518400. Its totient is φ = 22871808.

The previous prime is 56340917. The next prime is 56340953. The reversal of 56340928 is 82904365.

56340928 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 (56).

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 7 ways as a sum of consecutive naturals, for example, 5203 + ... + 11821.

Almost surely, 256340928 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 56340928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67259200).

56340928 is an abundant number, since it is smaller than the sum of its proper divisors (78177472).

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

56340928 is a wasteful number, since it uses less digits than its factorization.

56340928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6657 (or 6647 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 56340928 is about 7506.0594188962. The cubic root of 56340928 is about 383.3610613003.

The spelling of 56340928 in words is "fifty-six million, three hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 6619 8512 13238 26476 46333 52952 92666 105904 125761 185332 211808 251522 370664 423616 503044 741328 880327 1006088 1482656 1760654 2012176 2965312 3521308 4024352 7042616 8048704 14085232 28170464 56340928