Search a number
-
+
56263608 = 233217431069
BaseRepresentation
bin1101011010100…
…0001110111000
310220212111011100
43112220032320
5103400413413
65325531400
71252142562
oct326501670
9126774140
1056263608
1129839755
1216a13b60
13b86c39b
147688332
154e15a73
hex35a83b8

56263608 has 96 divisors (see below), whose sum is σ = 165250800. Its totient is φ = 17224704.

The previous prime is 56263601. The next prime is 56263609. The reversal of 56263608 is 80636265.

56263608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56263601) 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 23 ways as a sum of consecutive naturals, for example, 52098 + ... + 53166.

Almost surely, 256263608 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 56263608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82625400).

56263608 is an abundant number, since it is smaller than the sum of its proper divisors (108987192).

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

56263608 is a wasteful number, since it uses less digits than its factorization.

56263608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 56263608 is about 7500.9071451392. The cubic root of 56263608 is about 383.1856113018.

The spelling of 56263608 in words is "fifty-six million, two hundred sixty-three thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 43 51 68 72 86 102 129 136 153 172 204 258 306 344 387 408 516 612 731 774 1032 1069 1224 1462 1548 2138 2193 2924 3096 3207 4276 4386 5848 6414 6579 8552 8772 9621 12828 13158 17544 18173 19242 25656 26316 36346 38484 45967 52632 54519 72692 76968 91934 109038 137901 145384 163557 183868 218076 275802 327114 367736 413703 436152 551604 654228 781439 827406 1103208 1308456 1562878 1654812 2344317 3125756 3309624 4688634 6251512 7032951 9377268 14065902 18754536 28131804 56263608