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208264056 = 233711138669
BaseRepresentation
bin11000110100111…
…01101101111000
3112111212220120120
430122131231320
5411303422211
632355453240
75106133560
oct1432355570
9474786516
10208264056
11a7617960
12598b7220
13341bb990
141d933da0
151343cd06
hexc69db78

208264056 has 128 divisors (see below), whose sum is σ = 699148800. Its totient is φ = 49927680.

The previous prime is 208264039. The next prime is 208264061. The reversal of 208264056 is 650462802.

It is a super-2 number, since 2×2082640562 = 86747834043142272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19690 + ... + 28358.

It is an arithmetic number, because the mean of its divisors is an integer number (5462100).

Almost surely, 2208264056 is an apocalyptic number.

208264056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208264056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349574400).

208264056 is an abundant number, since it is smaller than the sum of its proper divisors (490884744).

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

208264056 is a wasteful number, since it uses less digits than its factorization.

208264056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8709 (or 8705 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 208264056 is about 14431.3566929794. The cubic root of 208264056 is about 592.7498335746.

The spelling of 208264056 in words is "two hundred eight million, two hundred sixty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 6006 8008 8669 12012 17338 24024 26007 34676 52014 60683 69352 95359 104028 112697 121366 182049 190718 208056 225394 242732 286077 338091 364098 381436 450788 485464 572154 667513 676182 728196 762872 788879 901576 1144308 1239667 1335026 1352364 1456392 1577758 2002539 2288616 2366637 2479334 2670052 2704728 3155516 3719001 4005078 4733274 4958668 5340104 6311032 7438002 8010156 8677669 9466548 9917336 14876004 16020312 17355338 18933096 26033007 29752008 34710676 52066014 69421352 104132028 208264056