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442062630 = 23354213889
BaseRepresentation
bin11010010110010…
…101011100100110
31010210211002221000
4122112111130212
51401132001010
6111510534130
713645320222
oct3226253446
91123732830
10442062630
11207595219
12104067346
137077ac29
14429d3782
1528c217c0
hex1a595726

442062630 has 64 divisors (see below), whose sum is σ = 1181937600. Its totient is φ = 117573120.

The previous prime is 442062613. The next prime is 442062637. The reversal of 442062630 is 36260244.

442062630 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 626 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 442062594 and 442062603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442062637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111726 + ... + 115614.

It is an arithmetic number, because the mean of its divisors is an integer number (18467775).

Almost surely, 2442062630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442062630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590968800).

442062630 is an abundant number, since it is smaller than the sum of its proper divisors (739874970).

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

442062630 is a wasteful number, since it uses less digits than its factorization.

442062630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 442062630 is about 21025.2854915219. The cubic root of 442062630 is about 761.7771373800. Note that the first 3 decimals are identical.

The spelling of 442062630 in words is "four hundred forty-two million, sixty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 421 842 1263 2105 2526 3789 3889 4210 6315 7578 7778 11367 11667 12630 18945 19445 22734 23334 35001 37890 38890 56835 58335 70002 105003 113670 116670 175005 210006 350010 525015 1050030 1637269 3274538 4911807 8186345 9823614 14735421 16372690 24559035 29470842 44206263 49118070 73677105 88412526 147354210 221031315 442062630