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442526220 = 22335819493
BaseRepresentation
bin11010011000000…
…110101000001100
31010211200122212000
4122120012220030
51401241314340
6111524512300
713652260623
oct3230065014
91124618760
10442526220
11207881554
1210424b690
13708b0c46
1442ab46ba
1528cb3d30
hex1a606a0c

442526220 has 48 divisors (see below), whose sum is σ = 1376749920. Its totient is φ = 118006848.

The previous prime is 442526191. The next prime is 442526221. The reversal of 442526220 is 22625244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (442526221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409207 + ... + 410286.

It is an arithmetic number, because the mean of its divisors is an integer number (28682290).

Almost surely, 2442526220 is an apocalyptic number.

It is an amenable number.

442526220 is an abundant number, since it is smaller than the sum of its proper divisors (934223700).

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

442526220 is a wasteful number, since it uses less digits than its factorization.

442526220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819511 (or 819503 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 442526220 is about 21036.3071854354. The cubic root of 442526220 is about 762.0433356221.

The spelling of 442526220 in words is "four hundred forty-two million, five hundred twenty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 819493 1638986 2458479 3277972 4097465 4916958 7375437 8194930 9833916 12292395 14750874 16389860 22126311 24584790 29501748 36877185 44252622 49169580 73754370 88505244 110631555 147508740 221263110 442526220