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442974 = 23753199
BaseRepresentation
bin1101100001001011110
3211111122110
41230021132
5103133344
613254450
73523320
oct1541136
9744573
10442974
112828a4
12194426
1312681c
14b7610
158b3b9
hex6c25e

442974 has 32 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 123552.

The previous prime is 442973. The next prime is 442979. The reversal of 442974 is 479244.

It is a d-powerful number, because it can be written as 4 + 46 + 95 + 25 + 76 + 49 .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442973) 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, 2127 + ... + 2325.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2442974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518400).

442974 is an abundant number, since it is smaller than the sum of its proper divisors (593826).

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

442974 is a wasteful number, since it uses less digits than its factorization.

442974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264.

The product of its digits is 8064, while the sum is 30.

The square root of 442974 is about 665.5629196402. The cubic root of 442974 is about 76.2300279144.

The spelling of 442974 in words is "four hundred forty-two thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 199 318 371 398 597 742 1113 1194 1393 2226 2786 4179 8358 10547 21094 31641 63282 73829 147658 221487 442974