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468944 = 2475379
BaseRepresentation
bin1110010011111010000
3212211021022
41302133100
5110001234
614015012
73662120
oct1623720
9784238
10468944
112a0363
121a7468
131355a8
14c2c80
1593e2e
hex727d0

468944 has 40 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 194688.

The previous prime is 468913. The next prime is 468953. The reversal of 468944 is 449864.

It is an Ulam number.

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 468944.

It is an unprimeable number.

468944 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 7 ways as a sum of consecutive naturals, for example, 5897 + ... + 5975.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2468944 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 468944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

468944 is an abundant number, since it is smaller than the sum of its proper divisors (602416).

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

468944 is a wasteful number, since it uses less digits than its factorization.

468944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 468944 is about 684.7948597938. The cubic root of 468944 is about 77.6915276705.

The spelling of 468944 in words is "four hundred sixty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 53 56 79 106 112 158 212 316 371 424 553 632 742 848 1106 1264 1484 2212 2968 4187 4424 5936 8374 8848 16748 29309 33496 58618 66992 117236 234472 468944