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442494 = 232133161
BaseRepresentation
bin1101100000001111110
3211110222200
41230001332
5103124434
613252330
73522033
oct1540176
9743880
10442494
112824a8
121940a6
13126540
14b738a
158b199
hex6c07e

442494 has 48 divisors (see below), whose sum is σ = 1083264. Its totient is φ = 129600.

The previous prime is 442489. The next prime is 442499. The reversal of 442494 is 494244.

It is an interprime number because it is at equal distance from previous prime (442489) and next prime (442499).

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 442494.

It is not an unprimeable number, because it can be changed into a prime (442499) by changing a digit.

442494 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 23 ways as a sum of consecutive naturals, for example, 7224 + ... + 7284.

It is an arithmetic number, because the mean of its divisors is an integer number (22568).

2442494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541632).

442494 is an abundant number, since it is smaller than the sum of its proper divisors (640770).

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

442494 is a wasteful number, since it uses less digits than its factorization.

442494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 110 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 442494 is about 665.2022248910. The cubic root of 442494 is about 76.2024840573.

It can be divided in two parts, 44249 and 4, that added together give a triangular number (44253 = T297).

The spelling of 442494 in words is "four hundred forty-two thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 31 39 61 62 78 93 117 122 183 186 234 279 366 403 549 558 793 806 1098 1209 1586 1891 2379 2418 3627 3782 4758 5673 7137 7254 11346 14274 17019 24583 34038 49166 73749 147498 221247 442494