Search a number
-
+
56016765 = 345719759
BaseRepresentation
bin1101010110101…
…1111101111101
310220101221120000
43111223331331
5103320014030
65320344513
71250064120
oct325537575
9126357500
1056016765
1129690252
1216915139
13b7b3c1c
1476223b7
154db7860
hex356bf7d

56016765 has 40 divisors (see below), whose sum is σ = 114766080. Its totient is φ = 25606368.

The previous prime is 56016749. The next prime is 56016803. The reversal of 56016765 is 56761065.

It is a happy number.

It is not a de Polignac number, because 56016765 - 24 = 56016749 is a prime.

It is a super-2 number, since 2×560167652 = 6275755922130450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7045 + ... + 12714.

It is an arithmetic number, because the mean of its divisors is an integer number (2869152).

Almost surely, 256016765 is an apocalyptic number.

It is an amenable number.

56016765 is an abundant number, since it is smaller than the sum of its proper divisors (58749315).

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

56016765 is a wasteful number, since it uses less digits than its factorization.

56016765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19783 (or 19774 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 56016765 is about 7484.4348484037. The cubic root of 56016765 is about 382.6244116634.

The spelling of 56016765 in words is "fifty-six million, sixteen thousand, seven hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 19759 59277 98795 138313 177831 296385 414939 533493 691565 889155 1244817 1600479 2074695 2667465 3734451 6224085 8002395 11203353 18672255 56016765