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264492 = 22333179
BaseRepresentation
bin1000000100100101100
3111102211000
41000210230
531430432
65400300
72151054
oct1004454
9442730
10264492
11170798
12109090
1393507
146c564
155357c
hex4092c

264492 has 48 divisors (see below), whose sum is σ = 716800. Its totient is φ = 84240.

The previous prime is 264487. The next prime is 264527. The reversal of 264492 is 294462.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3309 + ... + 3387.

2264492 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 264492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358400).

264492 is an abundant number, since it is smaller than the sum of its proper divisors (452308).

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

264492 is a wasteful number, since it uses less digits than its factorization.

264492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 264492 is about 514.2878571384. The cubic root of 264492 is about 64.1905130536.

The spelling of 264492 in words is "two hundred sixty-four thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 79 93 108 124 158 186 237 279 316 372 474 558 711 837 948 1116 1422 1674 2133 2449 2844 3348 4266 4898 7347 8532 9796 14694 22041 29388 44082 66123 88164 132246 264492