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442256130 = 23258955213
BaseRepresentation
bin11010010111000…
…100101100000010
31010211011221100200
4122113010230002
51401204144010
6111515030030
713650054321
oct3227045402
91124157320
10442256130
11207707638
1210413b316
1370818024
1442a440b8
1528c5dcc0
hex1a5c4b02

442256130 has 48 divisors (see below), whose sum is σ = 1162806840. Its totient is φ = 116607744.

The previous prime is 442256117. The next prime is 442256183. The reversal of 442256130 is 31652244.

442256130 is a `hidden beast` number, since 4 + 42 + 2 + 5 + 613 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 313183809 + 129072321 = 17697^2 + 11361^2 .

It is a junction number, because it is equal to n+sod(n) for n = 442256094 and 442256103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19597 + ... + 35616.

Almost surely, 2442256130 is an apocalyptic number.

442256130 is an abundant number, since it is smaller than the sum of its proper divisors (720550710).

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

442256130 is a wasteful number, since it uses less digits than its factorization.

442256130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55315 (or 55312 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 442256130 is about 21029.8865902791. The cubic root of 442256130 is about 761.8882697280. Note that the first 3 decimals are identical.

The spelling of 442256130 in words is "four hundred forty-two million, two hundred fifty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1335 1602 2670 4005 8010 55213 110426 165639 276065 331278 496917 552130 828195 993834 1656390 2484585 4913957 4969170 9827914 14741871 24569785 29483742 44225613 49139570 73709355 88451226 147418710 221128065 442256130