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442439328 = 2534608743
BaseRepresentation
bin11010010111110…
…001011010100000
31010211112020122210
4122113301122200
51401231024303
6111523002120
713651446402
oct3227613240
91124466583
10442439328
11207822241
12104209340
1370880526
1442a90b72
1528c98203
hex1a5f16a0

442439328 has 24 divisors (see below), whose sum is σ = 1161403488. Its totient is φ = 147479744.

The previous prime is 442439311. The next prime is 442439383. The reversal of 442439328 is 823934244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×4424393282 = 391505117922183168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2304276 + ... + 2304467.

It is an arithmetic number, because the mean of its divisors is an integer number (48391812).

Almost surely, 2442439328 is an apocalyptic number.

442439328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

442439328 is an abundant number, since it is smaller than the sum of its proper divisors (718964160).

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

442439328 is a wasteful number, since it uses less digits than its factorization.

442439328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4608756 (or 4608748 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 442439328 is about 21034.2417976023. The cubic root of 442439328 is about 761.9934554863.

The spelling of 442439328 in words is "four hundred forty-two million, four hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4608743 9217486 13826229 18434972 27652458 36869944 55304916 73739888 110609832 147479776 221219664 442439328