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442730080 = 25513212851
BaseRepresentation
bin11010011000111…
…000011001100000
31010212002000111101
4122120320121200
51401314330310
6111533124144
713654100152
oct3230703140
91125060441
10442730080
11207a00731
12104329654
1370952980
1442b28ad2
1528d0443a
hex1a638660

442730080 has 48 divisors (see below), whose sum is σ = 1126412784. Its totient is φ = 163468800.

The previous prime is 442730063. The next prime is 442730081. The reversal of 442730080 is 80037244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442730081) 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, 104346 + ... + 108505.

It is an arithmetic number, because the mean of its divisors is an integer number (23466933).

Almost surely, 2442730080 is an apocalyptic number.

442730080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442730080 is an abundant number, since it is smaller than the sum of its proper divisors (683682704).

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

442730080 is a wasteful number, since it uses less digits than its factorization.

442730080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212879 (or 212871 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 442730080 is about 21041.1520597138. The cubic root of 442730080 is about 762.1603353223.

The spelling of 442730080 in words is "four hundred forty-two million, seven hundred thirty thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 212851 425702 851404 1064255 1702808 2128510 2767063 3405616 4257020 5534126 6811232 8514040 11068252 13835315 17028080 22136504 27670630 34056160 44273008 55341260 88546016 110682520 221365040 442730080