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442935 = 33517193
BaseRepresentation
bin1101100001000110111
3211111121000
41230020313
5103133220
613254343
73523233
oct1541067
9744530
10442935
11282869
121943b3
131267bc
14b75c3
158b390
hex6c237

442935 has 32 divisors (see below), whose sum is σ = 838080. Its totient is φ = 221184.

The previous prime is 442919. The next prime is 442961. The reversal of 442935 is 539244.

It is not a de Polignac number, because 442935 - 24 = 442919 is a prime.

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

442935 is a lucky number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 442899 and 442908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2199 + ... + 2391.

It is an arithmetic number, because the mean of its divisors is an integer number (26190).

2442935 is an apocalyptic number.

442935 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

442935 is a deficient number, since it is larger than the sum of its proper divisors (395145).

442935 is a wasteful number, since it uses less digits than its factorization.

442935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 442935 is about 665.5336204881. The cubic root of 442935 is about 76.2277907189.

The spelling of 442935 in words is "four hundred forty-two thousand, nine hundred thirty-five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 193 255 459 579 765 965 1737 2295 2895 3281 5211 8685 9843 16405 26055 29529 49215 88587 147645 442935