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256984 = 23713353
BaseRepresentation
bin111110101111011000
3111001111221
4332233120
531210414
65301424
72120140
oct765730
9431457
10256984
11166092
12104874
138cc80
1469920
1551224
hex3ebd8

256984 has 32 divisors (see below), whose sum is σ = 594720. Its totient is φ = 101376.

The previous prime is 256981. The next prime is 257003. The reversal of 256984 is 489652.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 552 + ... + 904.

It is an arithmetic number, because the mean of its divisors is an integer number (18585).

2256984 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 256984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297360).

256984 is an abundant number, since it is smaller than the sum of its proper divisors (337736).

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

256984 is a wasteful number, since it uses less digits than its factorization.

256984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 375 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 256984 is about 506.9358933830. The cubic root of 256984 is about 63.5772923695.

The spelling of 256984 in words is "two hundred fifty-six thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 353 364 706 728 1412 2471 2824 4589 4942 9178 9884 18356 19768 32123 36712 64246 128492 256984