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492264 = 23334353
BaseRepresentation
bin1111000001011101000
3221000021000
41320023220
5111223024
614315000
74120113
oct1701350
9830230
10492264
11306933
121b8a60
131430a6
14cb57a
159acc9
hex782e8

492264 has 64 divisors (see below), whose sum is σ = 1425600. Its totient is φ = 157248.

The previous prime is 492257. The next prime is 492281. The reversal of 492264 is 462294.

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.

492264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9262 + ... + 9314.

It is an arithmetic number, because the mean of its divisors is an integer number (22275).

2492264 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 492264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712800).

492264 is an abundant number, since it is smaller than the sum of its proper divisors (933336).

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

492264 is a wasteful number, since it uses less digits than its factorization.

492264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

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

The square root of 492264 is about 701.6152791951. The cubic root of 492264 is about 78.9585853536.

The spelling of 492264 in words is "four hundred ninety-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 53 54 72 86 106 108 129 159 172 212 216 258 318 344 387 424 477 516 636 774 954 1032 1161 1272 1431 1548 1908 2279 2322 2862 3096 3816 4558 4644 5724 6837 9116 9288 11448 13674 18232 20511 27348 41022 54696 61533 82044 123066 164088 246132 492264