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442505244 = 223167220811
BaseRepresentation
bin11010011000000…
…001100000011100
31010211122121002010
4122120001200130
51401240131434
6111524231220
713652142516
oct3230014034
91124577063
10442505244
11207867815
1210423b510
13708a452c
1442aaabb6
1528cac9e9
hex1a60181c

442505244 has 24 divisors (see below), whose sum is σ = 1038699648. Its totient is φ = 146617840.

The previous prime is 442505243. The next prime is 442505263.

442505244 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442505243) 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, 108402 + ... + 112409.

It is an arithmetic number, because the mean of its divisors is an integer number (43279152).

Almost surely, 2442505244 is an apocalyptic number.

It is an amenable number.

442505244 is an abundant number, since it is smaller than the sum of its proper divisors (596194404).

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

442505244 is a wasteful number, since it uses less digits than its factorization.

442505244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220985 (or 220983 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 442505244 is about 21035.8086129343. The cubic root of 442505244 is about 762.0312949995.

It can be divided in two parts, 44250524 and 4, that added together give a triangular number (44250528 = T9407).

The spelling of 442505244 in words is "four hundred forty-two million, five hundred five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 167 334 501 668 1002 2004 220811 441622 662433 883244 1324866 2649732 36875437 73750874 110626311 147501748 221252622 442505244