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292113 = 3331349
BaseRepresentation
bin1000111010100010001
3112211201000
41013110101
533321423
610132213
72324433
oct1072421
9484630
10292113
1118a518
12121069
13a2c63
1478653
155b843
hex47511

292113 has 16 divisors (see below), whose sum is σ = 448000. Its totient is φ = 187920.

The previous prime is 292093. The next prime is 292133. The reversal of 292113 is 311292.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (292093) and next prime (292133).

It is not a de Polignac number, because 292113 - 25 = 292081 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 292113.

It is not an unprimeable number, because it can be changed into a prime (292133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663 + ... + 1011.

It is an arithmetic number, because the mean of its divisors is an integer number (28000).

2292113 is an apocalyptic number.

It is an amenable number.

292113 is a deficient number, since it is larger than the sum of its proper divisors (155887).

292113 is a wasteful number, since it uses less digits than its factorization.

292113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 292113 is about 540.4747912715. The cubic root of 292113 is about 66.3514311928.

It can be divided in two parts, 2921 and 13, that multiplied together give a palindrome (37973).

The spelling of 292113 in words is "two hundred ninety-two thousand, one hundred thirteen".

Divisors: 1 3 9 27 31 93 279 349 837 1047 3141 9423 10819 32457 97371 292113