Search a number
-
+
468790 = 25737181
BaseRepresentation
bin1110010011100110110
3212211001121
41302130312
5110000130
614014154
73661510
oct1623466
9784047
10468790
112a0233
121a735a
131354ba
14c2bb0
1593d7a
hex72736

468790 has 32 divisors (see below), whose sum is σ = 995904. Its totient is φ = 155520.

The previous prime is 468781. The next prime is 468803. The reversal of 468790 is 97864.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2500 + ... + 2680.

It is an arithmetic number, because the mean of its divisors is an integer number (31122).

2468790 is an apocalyptic number.

468790 is an abundant number, since it is smaller than the sum of its proper divisors (527114).

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

468790 is a wasteful number, since it uses less digits than its factorization.

468790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 468790 is about 684.6824081280. The cubic root of 468790 is about 77.6830221736.

It can be divided in two parts, 46 and 8790, that added together give a square (8836 = 942).

The spelling of 468790 in words is "four hundred sixty-eight thousand, seven hundred ninety".

Divisors: 1 2 5 7 10 14 35 37 70 74 181 185 259 362 370 518 905 1267 1295 1810 2534 2590 6335 6697 12670 13394 33485 46879 66970 93758 234395 468790