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256495668 = 2231113197867
BaseRepresentation
bin11110100100111…
…01000000110100
3122212122022220120
433102131000310
51011130330133
641241331540
76233114532
oct1722350064
9585568816
10256495668
1112186aaa0
1271a96bb0
13411a81b0
14260cb152
15177b8ab3
hexf49d034

256495668 has 96 divisors (see below), whose sum is σ = 740221440. Its totient is φ = 67962240.

The previous prime is 256495663. The next prime is 256495703. The reversal of 256495668 is 866594652.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 256495668.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256495663) 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 31 ways as a sum of consecutive naturals, for example, 28671 + ... + 36537.

It is an arithmetic number, because the mean of its divisors is an integer number (7710640).

Almost surely, 2256495668 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 256495668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370110720).

256495668 is an abundant number, since it is smaller than the sum of its proper divisors (483725772).

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

256495668 is a wasteful number, since it uses less digits than its factorization.

256495668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917 (or 7915 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The square root of 256495668 is about 16015.4821344847. The cubic root of 256495668 is about 635.3699607004.

The spelling of 256495668 in words is "two hundred fifty-six million, four hundred ninety-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 13 19 22 26 33 38 39 44 52 57 66 76 78 114 132 143 156 209 228 247 286 418 429 494 572 627 741 836 858 988 1254 1482 1716 2508 2717 2964 5434 7867 8151 10868 15734 16302 23601 31468 32604 47202 86537 94404 102271 149473 173074 204542 259611 298946 306813 346148 409084 448419 519222 597892 613626 896838 1038444 1124981 1227252 1644203 1793676 1943149 2249962 3288406 3374943 3886298 4499924 4932609 5829447 6576812 6749886 7772596 9865218 11658894 13499772 19730436 21374639 23317788 42749278 64123917 85498556 128247834 256495668