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35256 = 23313113
BaseRepresentation
bin1000100110111000
31210100210
420212320
52112011
6431120
7204534
oct104670
953323
1035256
1124541
12184a0
1313080
14cbc4
15a6a6
hex89b8

35256 has 32 divisors (see below), whose sum is σ = 95760. Its totient is φ = 10752.

The previous prime is 35251. The next prime is 35257. The reversal of 35256 is 65253.

35256 is an undulating number in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35251) by changing a digit.

35256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256 + ... + 368.

235256 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 35256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47880).

35256 is an abundant number, since it is smaller than the sum of its proper divisors (60504).

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

35256 is a wasteful number, since it uses less digits than its factorization.

35256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 131 counting only the distinct ones).

The product of its digits is 900, while the sum is 21.

The square root of 35256 is about 187.7658115845. The cubic root of 35256 is about 32.7902211578.

The spelling of 35256 in words is "thirty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 113 156 226 312 339 452 678 904 1356 1469 2712 2938 4407 5876 8814 11752 17628 35256