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442702260 = 223557211132
BaseRepresentation
bin11010011000110…
…001100110110100
31010212000121100000
4122120301212310
51401312433020
6111532351300
713653623100
oct3230614664
91125017300
10442702260
11207991840
12104315530
1370943100
1442b1c900
1528ceb090
hex1a6319b4

442702260 has 648 divisors, whose sum is σ = 1913629536. Its totient is φ = 84913920.

The previous prime is 442702237. The next prime is 442702303. The reversal of 442702260 is 62207244.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 34054014 + ... + 34054026.

It is an arithmetic number, because the mean of its divisors is an integer number (2953132).

Almost surely, 2442702260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442702260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956814768).

442702260 is an abundant number, since it is smaller than the sum of its proper divisors (1470927276).

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

442702260 is a wasteful number, since it uses less digits than its factorization.

442702260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 442702260 is about 21040.4909638535. The cubic root of 442702260 is about 762.1443709341.

The spelling of 442702260 in words is "four hundred forty-two million, seven hundred two thousand, two hundred sixty".