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442130064 = 24371129733
BaseRepresentation
bin11010010110100…
…101111010010000
31010210221112102120
4122112211322100
51401141130224
6111512214240
713646020635
oct3226457220
91123845376
10442130064
11207630952
1210409a380
13707a282c
1442a1018c
1528c36779
hex1a5a5e90

442130064 has 40 divisors (see below), whose sum is σ = 1158265152. Its totient is φ = 145299840.

The previous prime is 442130023. The next prime is 442130069. The reversal of 442130064 is 460031244.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (442130069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61459 + ... + 68274.

Almost surely, 2442130064 is an apocalyptic number.

It is an amenable number.

442130064 is an abundant number, since it is smaller than the sum of its proper divisors (716135088).

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

442130064 is a wasteful number, since it uses less digits than its factorization.

442130064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129815 (or 129809 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 442130064 is about 21026.8890709016. The cubic root of 442130064 is about 761.8158702534.

The spelling of 442130064 in words is "four hundred forty-two million, one hundred thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 129733 259466 389199 518932 778398 1037864 1556796 2075728 3113592 6227184 9211043 18422086 27633129 36844172 55266258 73688344 110532516 147376688 221065032 442130064