Search a number
-
+
492024 = 233131983
BaseRepresentation
bin1111000000111111000
3220222221010
41320013320
5111221044
614313520
74116321
oct1700770
9828833
10492024
11306735
121b88a0
13142c50
14cb448
159abb9
hex781f8

492024 has 64 divisors (see below), whose sum is σ = 1411200. Its totient is φ = 141696.

The previous prime is 492017. The next prime is 492029. The reversal of 492024 is 420294.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492029) by changing a digit.

492024 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, 5887 + ... + 5969.

It is an arithmetic number, because the mean of its divisors is an integer number (22050).

2492024 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 492024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705600).

492024 is an abundant number, since it is smaller than the sum of its proper divisors (919176).

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

492024 is a wasteful number, since it uses less digits than its factorization.

492024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 492024 is about 701.4442244398. Note that the first 3 decimals coincide. The cubic root of 492024 is about 78.9457513587.

The spelling of 492024 in words is "four hundred ninety-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 83 104 114 152 156 166 228 247 249 312 332 456 494 498 664 741 988 996 1079 1482 1577 1976 1992 2158 2964 3154 3237 4316 4731 5928 6308 6474 8632 9462 12616 12948 18924 20501 25896 37848 41002 61503 82004 123006 164008 246012 492024