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56942116 = 2276112
BaseRepresentation
bin1101100100110…
…1111000100100
310222010221220021
43121031320210
5104034121431
65352244524
71261000000
oct331157044
9128127807
1056942116
112a162500
12170a0744
13ba4917a
1477c3700
154eebb11
hex364de24

56942116 has 63 divisors (see below), whose sum is σ = 127786267. Its totient is φ = 22185240.

The previous prime is 56942113. The next prime is 56942177. The reversal of 56942116 is 61124965.

The square root of 56942116 is 7546.

It is a perfect power (a square), and thus also a powerful number.

56942116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×569421164 (a number of 32 digits) contains 4444 as substring.

Its product of digits (12960) is a multiple of the sum of its prime divisors (20).

It is not an unprimeable number, because it can be changed into a prime (56942113) 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 20 ways as a sum of consecutive naturals, for example, 5176551 + ... + 5176561.

Almost surely, 256942116 is an apocalyptic number.

56942116 is the 7546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56942116

56942116 is an abundant number, since it is smaller than the sum of its proper divisors (70844151).

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

56942116 is an frugal number, since it uses more digits than its factorization.

56942116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 20 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The cubic root of 56942116 is about 384.7197961164.

The spelling of 56942116 in words is "fifty-six million, nine hundred forty-two thousand, one hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 343 484 539 686 847 1078 1372 1694 2156 2401 3388 3773 4802 5929 7546 9604 11858 15092 16807 23716 26411 33614 41503 52822 67228 83006 105644 117649 166012 184877 235298 290521 369754 470596 581042 739508 1162084 1294139 2033647 2588278 4067294 5176556 8134588 14235529 28471058 56942116