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442941264 = 24331025327
BaseRepresentation
bin11010011001101…
…011111101010000
31010212110202012000
4122121223331100
51401343110024
6111541434000
713655636643
oct3231537520
91125422160
10442941264
11208035367
1210440b900
13709c7b2c
1442b81a5a
1528d46cc9
hex1a66bf50

442941264 has 40 divisors (see below), whose sum is σ = 1271406720. Its totient is φ = 147646944.

The previous prime is 442941227. The next prime is 442941269. The reversal of 442941264 is 462149244.

It is a happy number.

442941264 is a `hidden beast` number, since 442 + 94 + 126 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442941269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 512232 + ... + 513095.

It is an arithmetic number, because the mean of its divisors is an integer number (31785168).

Almost surely, 2442941264 is an apocalyptic number.

It is an amenable number.

442941264 is an abundant number, since it is smaller than the sum of its proper divisors (828465456).

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

442941264 is a wasteful number, since it uses less digits than its factorization.

442941264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025344 (or 1025332 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 442941264 is about 21046.1698178077. The cubic root of 442941264 is about 762.2815005575.

The spelling of 442941264 in words is "four hundred forty-two million, nine hundred forty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1025327 2050654 3075981 4101308 6151962 8202616 9227943 12303924 16405232 18455886 24607848 27683829 36911772 49215696 55367658 73823544 110735316 147647088 221470632 442941264