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442172632 = 231110194931
BaseRepresentation
bin11010010110110…
…000010011011000
31010211000200211011
4122112300103120
51401144011012
6111513143304
713646256016
oct3226602330
91124020734
10442172632
1120765a930
121040bab34
13707b9015
1442a218b6
1528c441a7
hex1a5b04d8

442172632 has 32 divisors (see below), whose sum is σ = 905515200. Its totient is φ = 200749600.

The previous prime is 442172629. The next prime is 442172641. The reversal of 442172632 is 236271244.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 442172594 and 442172603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87207 + ... + 92137.

It is an arithmetic number, because the mean of its divisors is an integer number (28297350).

Almost surely, 2442172632 is an apocalyptic number.

It is an amenable number.

442172632 is an abundant number, since it is smaller than the sum of its proper divisors (463342568).

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

442172632 is a wasteful number, since it uses less digits than its factorization.

442172632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5967 (or 5963 counting only the distinct ones).

The product of its digits is 16128, while the sum is 31.

The square root of 442172632 is about 21027.9012742594. The cubic root of 442172632 is about 761.8403185172.

It can be divided in two parts, 44 and 2172632, that added together give a square (2172676 = 14742).

The spelling of 442172632 in words is "four hundred forty-two million, one hundred seventy-two thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 1019 2038 4076 4931 8152 9862 11209 19724 22418 39448 44836 54241 89672 108482 216964 433928 5024689 10049378 20098756 40197512 55271579 110543158 221086316 442172632