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35956 = 2289101
BaseRepresentation
bin1000110001110100
31211022201
420301310
52122311
6434244
7206554
oct106164
954281
1035956
1125018
1218984
131349b
14d164
15a9c1
hex8c74

35956 has 12 divisors (see below), whose sum is σ = 64260. Its totient is φ = 17600.

The previous prime is 35951. The next prime is 35963. The reversal of 35956 is 65953.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22500 + 13456 = 150^2 + 116^2 .

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35951) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 306 + ... + 406.

It is an arithmetic number, because the mean of its divisors is an integer number (5355).

235956 is an apocalyptic number.

It is an amenable number.

35956 is a deficient number, since it is larger than the sum of its proper divisors (28304).

35956 is a wasteful number, since it uses less digits than its factorization.

35956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 192 counting only the distinct ones).

The product of its digits is 4050, while the sum is 28.

The square root of 35956 is about 189.6206739783. The cubic root of 35956 is about 33.0058147085.

The spelling of 35956 in words is "thirty-five thousand, nine hundred fifty-six".

Divisors: 1 2 4 89 101 178 202 356 404 8989 17978 35956