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442962 = 23313631
BaseRepresentation
bin1101100001001010010
3211111122000
41230021102
5103133322
613254430
73523302
oct1541122
9744560
10442962
11282893
12194416
13126810
14b7602
158b3ac
hex6c252

442962 has 32 divisors (see below), whose sum is σ = 1061760. Its totient is φ = 136080.

The previous prime is 442961. The next prime is 442963. The reversal of 442962 is 269244.

It is an interprime number because it is at equal distance from previous prime (442961) and next prime (442963).

It is a Harshad number since it is a multiple of its sum of digits (27).

442962 is a modest number, since divided by 962 gives 442 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387 + ... + 1017.

It is an arithmetic number, because the mean of its divisors is an integer number (33180).

2442962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530880).

442962 is an abundant number, since it is smaller than the sum of its proper divisors (618798).

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

442962 is a wasteful number, since it uses less digits than its factorization.

442962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 649 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 442962 is about 665.5539046539. The cubic root of 442962 is about 76.2293395605.

The spelling of 442962 in words is "four hundred forty-two thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 631 702 1262 1893 3786 5679 8203 11358 16406 17037 24609 34074 49218 73827 147654 221481 442962