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201056856 = 233711138369
BaseRepresentation
bin10111111101111…
…10001001011000
3112000022202011020
423332332021120
5402432304411
631541202440
74660645410
oct1376761130
9460282136
10201056856
11a3544aa0
1257400420
1332867370
141c9b9640
15129b7606
hexbfbe258

201056856 has 128 divisors (see below), whose sum is σ = 674956800. Its totient is φ = 48199680.

The previous prime is 201056839. The next prime is 201056861. The reversal of 201056856 is 658650102.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19840 + ... + 28208.

It is an arithmetic number, because the mean of its divisors is an integer number (5273100).

Almost surely, 2201056856 is an apocalyptic number.

201056856 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 201056856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337478400).

201056856 is an abundant number, since it is smaller than the sum of its proper divisors (473899944).

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

201056856 is a wasteful number, since it uses less digits than its factorization.

201056856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8409 (or 8405 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 201056856 is about 14179.4518934972. The cubic root of 201056856 is about 585.8318270886.

The spelling of 201056856 in words is "two hundred one million, fifty-six thousand, eight hundred 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 8369 12012 16738 24024 25107 33476 50214 58583 66952 92059 100428 108797 117166 175749 184118 200856 217594 234332 276177 326391 351498 368236 435188 468664 552354 644413 652782 702996 736472 761579 870376 1104708 1196767 1288826 1305564 1405992 1523158 1933239 2209416 2284737 2393534 2577652 2611128 3046316 3590301 3866478 4569474 4787068 5155304 6092632 7180602 7732956 8377369 9138948 9574136 14361204 15465912 16754738 18277896 25132107 28722408 33509476 50264214 67018952 100528428 201056856