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256643478 = 2357213829
BaseRepresentation
bin11110100110000…
…01000110010110
3122212220211200000
433103001012112
51011200042403
641244432130
76234301500
oct1723010626
9585824600
10256643478
11121961053
1271b48646
134122a560
1426128d70
15177e77a3
hexf4c1196

256643478 has 144 divisors (see below), whose sum is σ = 723275280. Its totient is φ = 67604544.

The previous prime is 256643449. The next prime is 256643489. The reversal of 256643478 is 874346652.

256643478 is a `hidden beast` number, since 2 + 566 + 43 + 47 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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, 309168 + ... + 309996.

It is an arithmetic number, because the mean of its divisors is an integer number (5022745).

Almost surely, 2256643478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256643478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361637640).

256643478 is an abundant number, since it is smaller than the sum of its proper divisors (466631802).

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

256643478 is a wasteful number, since it uses less digits than its factorization.

256643478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 854 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 256643478 is about 16020.0960671277. The cubic root of 256643478 is about 635.4919848533.

The spelling of 256643478 in words is "two hundred fifty-six million, six hundred forty-three thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 81 91 98 117 126 147 162 182 189 234 243 273 294 351 378 441 486 546 567 637 702 819 829 882 1053 1134 1274 1323 1638 1658 1701 1911 2106 2457 2487 2646 3159 3402 3822 3969 4914 4974 5733 5803 6318 7371 7461 7938 10777 11466 11606 11907 14742 14922 17199 17409 21554 22113 22383 23814 32331 34398 34818 40621 44226 44766 51597 52227 64662 67149 75439 81242 96993 103194 104454 121863 134298 150878 154791 156681 193986 201447 226317 243726 290979 309582 313362 365589 402894 452634 470043 528073 581958 678951 731178 872937 940086 1056146 1096767 1357902 1410129 1584219 1745874 2036853 2193534 2618811 2820258 3168438 3290301 4073706 4752657 5237622 6110559 6580602 9505314 9870903 12221118 14257971 18331677 19741806 28515942 36663354 42773913 85547826 128321739 256643478