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56926926 = 23272194379
BaseRepresentation
bin1101100100101…
…0001011001110
310222010012001200
43121022023032
5104033130201
65352050330
71260604500
oct331121316
9128105050
1056926926
112a152051
12170939a6
13ba42294
1477bbd70
154ee7386
hex364a2ce

56926926 has 144 divisors (see below), whose sum is σ = 156499200. Its totient is φ = 14859936.

The previous prime is 56926921. The next prime is 56926939. The reversal of 56926926 is 62962965.

56926926 is a `hidden beast` number, since 569 + 2 + 69 + 26 = 666.

56926926 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 (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56926921) 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 71 ways as a sum of consecutive naturals, for example, 720555 + ... + 720633.

It is an arithmetic number, because the mean of its divisors is an integer number (1086800).

Almost surely, 256926926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56926926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78249600).

56926926 is an abundant number, since it is smaller than the sum of its proper divisors (99572274).

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

56926926 is a wasteful number, since it uses less digits than its factorization.

56926926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 56926926 is about 7544.9934393610. The cubic root of 56926926 is about 384.6855835170.

It can be divided in two parts, 569 and 26926, that added together give a triangular number (27495 = T234).

The spelling of 56926926 in words is "fifty-six million, nine hundred twenty-six thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 43 49 57 63 79 86 98 114 126 129 133 147 158 171 237 258 266 294 301 342 387 399 441 474 553 602 711 774 798 817 882 903 931 1106 1197 1422 1501 1634 1659 1806 1862 2107 2394 2451 2709 2793 3002 3318 3397 3871 4214 4503 4902 4977 5418 5586 5719 6321 6794 7353 7742 8379 9006 9954 10191 10507 11438 11613 12642 13509 14706 16758 17157 18963 20382 21014 23226 23779 27018 30573 31521 34314 34839 37926 40033 47558 51471 61146 63042 64543 69678 71337 73549 80066 94563 102942 120099 129086 142674 147098 166453 189126 193629 214011 220647 240198 332906 360297 387258 428022 441294 451801 499359 580887 661941 720594 903602 998718 1161774 1323882 1355403 1498077 2710806 2996154 3162607 4066209 6325214 8132418 9487821 18975642 28463463 56926926