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442921072 = 241121111927
BaseRepresentation
bin11010011001100…
…111000001110000
31010212102201111011
4122121213001300
51401341433242
6111541200304
713655524036
oct3231470160
91125381434
10442921072
11208021180
12104400094
13709bb899
1442b78556
1528d40d17
hex1a667070

442921072 has 40 divisors (see below), whose sum is σ = 940689792. Its totient is φ = 200356800.

The previous prime is 442921069. The next prime is 442921139. The reversal of 442921072 is 270129244.

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, 31173 + ... + 43099.

Almost surely, 2442921072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442921072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470344896).

442921072 is an abundant number, since it is smaller than the sum of its proper divisors (497768720).

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

442921072 is a wasteful number, since it uses less digits than its factorization.

442921072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12157 (or 12151 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 442921072 is about 21045.6901051023. The cubic root of 442921072 is about 762.2699172144.

The spelling of 442921072 in words is "four hundred forty-two million, nine hundred twenty-one thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 211 422 844 1688 2321 3376 4642 9284 11927 18568 23854 37136 47708 95416 131197 190832 262394 524788 1049576 2099152 2516597 5033194 10066388 20132776 27682567 40265552 55365134 110730268 221460536 442921072