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442132264 = 23710337643
BaseRepresentation
bin11010010110100…
…110011100101000
31010210221122110001
4122112212130220
51401141213024
6111512232344
713646030230
oct3226463450
91123848401
10442132264
11207632572
1210409b6b4
13707a3832
1442a10cc0
1528c37244
hex1a5a6728

442132264 has 32 divisors (see below), whose sum is σ = 948467520. Its totient is φ = 189277056.

The previous prime is 442132259. The next prime is 442132349. The reversal of 442132264 is 462231244.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54027 + ... + 61669.

It is an arithmetic number, because the mean of its divisors is an integer number (29639610).

Almost surely, 2442132264 is an apocalyptic number.

It is an amenable number.

442132264 is an abundant number, since it is smaller than the sum of its proper divisors (506335256).

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

442132264 is a wasteful number, since it uses less digits than its factorization.

442132264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8689 (or 8685 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 442132264 is about 21026.9413848044. The cubic root of 442132264 is about 761.8171338274.

The spelling of 442132264 in words is "four hundred forty-two million, one hundred thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 1033 2066 4132 7231 7643 8264 14462 15286 28924 30572 53501 57848 61144 107002 214004 428008 7895219 15790438 31580876 55266533 63161752 110533066 221066132 442132264