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56739696 = 24313791151
BaseRepresentation
bin1101100001110…
…0011101110000
310221202200020020
43120130131300
5104011132241
65344043440
71256164566
oct330343560
9127680206
1056739696
112a034412
1217003580
13b9a7cb0
14776da36
154eabb66
hex361c770

56739696 has 80 divisors (see below), whose sum is σ = 159989760. Its totient is φ = 17222400.

The previous prime is 56739691. The next prime is 56739707. The reversal of 56739696 is 69693765.

56739696 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 not an unprimeable number, because it can be changed into a prime (56739691) by changing a digit.

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, 48721 + ... + 49871.

It is an arithmetic number, because the mean of its divisors is an integer number (1999872).

Almost surely, 256739696 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 56739696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79994880).

56739696 is an abundant number, since it is smaller than the sum of its proper divisors (103250064).

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

56739696 is a wasteful number, since it uses less digits than its factorization.

56739696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1248 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 51.

The square root of 56739696 is about 7532.5756551129. The cubic root of 56739696 is about 384.2633826746.

The spelling of 56739696 in words is "fifty-six million, seven hundred thirty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 79 104 156 158 208 237 312 316 474 624 632 948 1027 1151 1264 1896 2054 2302 3081 3453 3792 4108 4604 6162 6906 8216 9208 12324 13812 14963 16432 18416 24648 27624 29926 44889 49296 55248 59852 89778 90929 119704 179556 181858 239408 272787 359112 363716 545574 718224 727432 1091148 1182077 1454864 2182296 2364154 3546231 4364592 4728308 7092462 9456616 14184924 18913232 28369848 56739696