Search a number
35056 = 247313
BaseRepresentation
bin1000100011110000
31210002101
420203300
52110211
6430144
7204130
oct104360
953071
1035056
112437a
1218354
1312c58
14cac0
15a5c1
hex88f0

35056 has 20 divisors (see below), whose sum is σ = 77872. Its totient is φ = 14976.

The previous prime is 35053. The next prime is 35059. The reversal of 35056 is 65053.

It is an interprime number because it is at equal distance from previous prime (35053) and next prime (35059).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45 + ... + 268.

235056 is an apocalyptic number.

It is an amenable number.

35056 is an abundant number, since it is smaller than the sum of its proper divisors (42816).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38936).

35056 is a wasteful number, since it uses less digits than its factorization.

35056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 35056 is about 187.2324758155. The cubic root of 35056 is about 32.7280994928.

It can be divided in two parts, 350 and 56, that multiplied together give a square (19600 = 1402).

The spelling of 35056 in words is "thirty-five thousand, fifty-six".