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442416 = 24313709
BaseRepresentation
bin1101100000000110000
3211110212210
41230000300
5103124131
613252120
73521562
oct1540060
9743783
10442416
11282437
12194040
131264b0
14b7332
158b146
hex6c030

442416 has 40 divisors (see below), whose sum is σ = 1232560. Its totient is φ = 135936.

The previous prime is 442399. The next prime is 442439. The reversal of 442416 is 614244.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 442392 and 442401.

It is a congruent number.

It is an unprimeable number.

442416 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, 270 + ... + 978.

It is an arithmetic number, because the mean of its divisors is an integer number (30814).

It is the magic constant of a 96 × 96 magic square.

2442416 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 442416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616280).

442416 is an abundant number, since it is smaller than the sum of its proper divisors (790144).

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

442416 is a wasteful number, since it uses less digits than its factorization.

442416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 727 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 442416 is about 665.1435935195. The cubic root of 442416 is about 76.1980062994.

The spelling of 442416 in words is "four hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 709 1418 2127 2836 4254 5672 8508 9217 11344 17016 18434 27651 34032 36868 55302 73736 110604 147472 221208 442416