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256026456 = 23327975237
BaseRepresentation
bin11110100001010…
…10011101011000
3122211202111021100
433100222131120
51011020321311
641223311400
76226121550
oct1720523530
9584674240
10256026456
1112157a514
12718ab560
134107275a
1426008160
1517724a56
hexf42a758

256026456 has 96 divisors (see below), whose sum is σ = 800785440. Its totient is φ = 72382464.

The previous prime is 256026451. The next prime is 256026457. The reversal of 256026456 is 654620652.

256026456 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 2 + 645 + 6 = 666.

256026456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 256026456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256026451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46270 + ... + 51506.

It is an arithmetic number, because the mean of its divisors is an integer number (8341515).

Almost surely, 2256026456 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 256026456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400392720).

256026456 is an abundant number, since it is smaller than the sum of its proper divisors (544758984).

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

256026456 is a wasteful number, since it uses less digits than its factorization.

256026456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5353 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 256026456 is about 16000.8267286412. The cubic root of 256026456 is about 634.9822930975.

The spelling of 256026456 in words is "two hundred fifty-six million, twenty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 97 126 168 194 252 291 388 504 582 679 776 873 1164 1358 1746 2037 2328 2716 3492 4074 5237 5432 6111 6984 8148 10474 12222 15711 16296 20948 24444 31422 36659 41896 47133 48888 62844 73318 94266 109977 125688 146636 188532 219954 293272 329931 377064 439908 507989 659862 879816 1015978 1319724 1523967 2031956 2639448 3047934 3555923 4063912 4571901 6095868 7111846 9143802 10667769 12191736 14223692 18287604 21335538 28447384 32003307 36575208 42671076 64006614 85342152 128013228 256026456