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492966 = 23417179
BaseRepresentation
bin1111000010110100110
3221001020000
41320112212
5111233331
614322130
74122135
oct1702646
9831200
10492966
11307411
121b9346
131434c6
14cb91c
159b0e6
hex785a6

492966 has 40 divisors (see below), whose sum is σ = 1176120. Its totient is φ = 153792.

The previous prime is 492911. The next prime is 492967. The reversal of 492966 is 669294.

It is a self number, because there is not a number n which added to its sum of digits gives 492966.

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 492966.

It is not an unprimeable number, because it can be changed into a prime (492967) by changing a digit.

492966 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 19 ways as a sum of consecutive naturals, for example, 2665 + ... + 2843.

It is an arithmetic number, because the mean of its divisors is an integer number (29403).

2492966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588060).

492966 is an abundant number, since it is smaller than the sum of its proper divisors (683154).

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

492966 is a wasteful number, since it uses less digits than its factorization.

492966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 201 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 492966 is about 702.1153751343. The cubic root of 492966 is about 78.9961008597.

The spelling of 492966 in words is "four hundred ninety-two thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 179 306 358 459 537 918 1074 1377 1611 2754 3043 3222 4833 6086 9129 9666 14499 18258 27387 28998 54774 82161 164322 246483 492966