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442502440 = 23511062561
BaseRepresentation
bin11010011000000…
…000110100101000
31010211122110020021
4122120000310220
51401240034230
6111524210224
713652131402
oct3230006450
91124573207
10442502440
112078656a6
12104239974
13708a3183
1442aa9b72
1528cabc7a
hex1a600d28

442502440 has 16 divisors (see below), whose sum is σ = 995630580. Its totient is φ = 177000960.

The previous prime is 442502429. The next prime is 442502441. The reversal of 442502440 is 44205244.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 369331524 + 73170916 = 19218^2 + 8554^2 .

It is not an unprimeable number, because it can be changed into a prime (442502441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5531241 + ... + 5531320.

Almost surely, 2442502440 is an apocalyptic number.

442502440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442502440 is an abundant number, since it is smaller than the sum of its proper divisors (553128140).

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

442502440 is a wasteful number, since it uses less digits than its factorization.

442502440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11062572 (or 11062568 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The square root of 442502440 is about 21035.7419645707. The cubic root of 442502440 is about 762.0296854214.

Adding to 442502440 its reverse (44205244), we get a palindrome (486707684).

The spelling of 442502440 in words is "four hundred forty-two million, five hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 11062561 22125122 44250244 55312805 88500488 110625610 221251220 442502440