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442878440 = 23511071961
BaseRepresentation
bin11010011001011…
…100100111101000
31010212100120000012
4122121130213220
51401334102230
6111540231052
713655255534
oct3231344750
91125316005
10442878440
11207aa2144
1210439b488
13709a5364
1442b66bc4
1528d33395
hex1a65c9e8

442878440 has 16 divisors (see below), whose sum is σ = 996476580. Its totient is φ = 177151360.

The previous prime is 442878439. The next prime is 442878463. The reversal of 442878440 is 44878244.

It can be written as a sum of positive squares in 2 ways, for example, as 369639076 + 73239364 = 19226^2 + 8558^2 .

It is a super-2 number, since 2×4428784402 = 392282625233667200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5535941 + ... + 5536020.

Almost surely, 2442878440 is an apocalyptic number.

442878440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442878440 is an abundant number, since it is smaller than the sum of its proper divisors (553598140).

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

442878440 is a wasteful number, since it uses less digits than its factorization.

442878440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11071972 (or 11071968 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 41.

The square root of 442878440 is about 21044.6772367741. The cubic root of 442878440 is about 762.2454597841.

The spelling of 442878440 in words is "four hundred forty-two million, eight hundred seventy-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 11071961 22143922 44287844 55359805 88575688 110719610 221439220 442878440