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422872080 = 24353674801
BaseRepresentation
bin11001001101001…
…000010000010000
31002110201010102220
4121031020100100
51331223401310
6105543341040
713323232131
oct3115102020
91073633386
10422872080
111a7778064
12b9751780
13697bc087
1440239c88
15271d0670
hex19348410

422872080 has 80 divisors (see below), whose sum is σ = 1314749184. Its totient is φ = 112435200.

The previous prime is 422872049. The next prime is 422872091. The reversal of 422872080 is 80278224.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85680 + ... + 90480.

Almost surely, 2422872080 is an apocalyptic number.

422872080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422872080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657374592).

422872080 is an abundant number, since it is smaller than the sum of its proper divisors (891877104).

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

422872080 is a wasteful number, since it uses less digits than its factorization.

422872080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5184 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 422872080 is about 20563.8537244360. The cubic root of 422872080 is about 750.5903973416.

The spelling of 422872080 in words is "four hundred twenty-two million, eight hundred seventy-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 367 734 1101 1468 1835 2202 2936 3670 4404 4801 5505 5872 7340 8808 9602 11010 14403 14680 17616 19204 22020 24005 28806 29360 38408 44040 48010 57612 72015 76816 88080 96020 115224 144030 192040 230448 288060 384080 576120 1152240 1761967 3523934 5285901 7047868 8809835 10571802 14095736 17619670 21143604 26429505 28191472 35239340 42287208 52859010 70478680 84574416 105718020 140957360 211436040 422872080