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256998 = 23729211
BaseRepresentation
bin111110101111100110
3111001112110
4332233212
531210443
65301450
72120160
oct765746
9431473
10256998
111660a5
12104886
138cc91
1469930
1551233
hex3ebe6

256998 has 32 divisors (see below), whose sum is σ = 610560. Its totient is φ = 70560.

The previous prime is 256981. The next prime is 257003. The reversal of 256998 is 899652.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 1113 + ... + 1323.

It is an arithmetic number, because the mean of its divisors is an integer number (19080).

2256998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305280).

256998 is an abundant number, since it is smaller than the sum of its proper divisors (353562).

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

256998 is a wasteful number, since it uses less digits than its factorization.

256998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252.

The product of its digits is 38880, while the sum is 39.

The square root of 256998 is about 506.9497016470. The cubic root of 256998 is about 63.5784468719.

The spelling of 256998 in words is "two hundred fifty-six thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 211 406 422 609 633 1218 1266 1477 2954 4431 6119 8862 12238 18357 36714 42833 85666 128499 256998