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442085916 = 223313732119
BaseRepresentation
bin11010010110011…
…011001000011100
31010210212021212110
4122112123020130
51401133222131
6111511234020
713645445136
oct3226331034
91123767773
10442085916
11207600768
12104078910
13707886cc
14429dc056
1528c28646
hex1a59b21c

442085916 has 48 divisors (see below), whose sum is σ = 1093621760. Its totient is φ = 138749760.

The previous prime is 442085911. The next prime is 442085923. The reversal of 442085916 is 619580244.

It is a super-4 number, since 4×4420859164 (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442085911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2296 + ... + 29823.

Almost surely, 2442085916 is an apocalyptic number.

It is an amenable number.

442085916 is an abundant number, since it is smaller than the sum of its proper divisors (651535844).

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

442085916 is a wasteful number, since it uses less digits than its factorization.

442085916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32194 (or 32192 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 442085916 is about 21025.8392460325. The cubic root of 442085916 is about 761.7905128836.

The spelling of 442085916 in words is "four hundred forty-two million, eighty-five thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 31 37 62 74 93 111 124 148 186 222 372 444 1147 2294 3441 4588 6882 13764 32119 64238 96357 128476 192714 385428 995689 1188403 1991378 2376806 2987067 3565209 3982756 4753612 5974134 7130418 11948268 14260836 36840493 73680986 110521479 147361972 221042958 442085916