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156933 = 3274753
BaseRepresentation
bin100110010100000101
321222021100
4212110011
520010213
63210313
71222350
oct462405
9258240
10156933
11a79a7
1276999
135657a
1441297
1531773
hex26505

156933 has 24 divisors (see below), whose sum is σ = 269568. Its totient is φ = 86112.

The previous prime is 156913. The next prime is 156941. The reversal of 156933 is 339651.

It is not a de Polignac number, because 156933 - 25 = 156901 is a prime.

156933 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 156897 and 156906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156913) 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 23 ways as a sum of consecutive naturals, for example, 2935 + ... + 2987.

It is an arithmetic number, because the mean of its divisors is an integer number (11232).

156933 is a Friedman number, since it can be written as (9*6)^3-531, using all its digits and the basic arithmetic operations.

2156933 is an apocalyptic number.

It is an amenable number.

156933 is a deficient number, since it is larger than the sum of its proper divisors (112635).

156933 is a wasteful number, since it uses less digits than its factorization.

156933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 110 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 156933 is about 396.1476997283. The cubic root of 156933 is about 53.9392320530.

It can be divided in two parts, 156 and 933, that added together give a square (1089 = 332).

The spelling of 156933 in words is "one hundred fifty-six thousand, nine hundred thirty-three".

Divisors: 1 3 7 9 21 47 53 63 141 159 329 371 423 477 987 1113 2491 2961 3339 7473 17437 22419 52311 156933