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4407068880 = 243256120929
BaseRepresentation
bin1000001101010111…
…01000100011010000
3102101010200021222100
410012223220203100
533011202201010
62005150440400
7214132316214
oct40653504320
912333607870
104407068880
111961748095
12a2bb03100
13553069686
142db438944
151abd832c0
hex106ae88d0

4407068880 has 60 divisors (see below), whose sum is σ = 14800408740. Its totient is φ = 1175218176.

The previous prime is 4407068863. The next prime is 4407068909. The reversal of 4407068880 is 888607044.

4407068880 is a `hidden beast` number, since 440 + 70 + 68 + 8 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2719831104 + 1687237776 = 52152^2 + 41076^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×44070688802 = 38844512226128908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3059745 + ... + 3061184.

It is an arithmetic number, because the mean of its divisors is an integer number (246673479).

Almost surely, 24407068880 is an apocalyptic number.

4407068880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4407068880 is an abundant number, since it is smaller than the sum of its proper divisors (10393339860).

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

4407068880 is a wasteful number, since it uses less digits than its factorization.

4407068880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6120948 (or 6120939 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 4407068880 is about 66385.7581112094. The cubic root of 4407068880 is about 1639.5195995254.

The spelling of 4407068880 in words is "four billion, four hundred seven million, sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 6120929 12241858 18362787 24483716 30604645 36725574 48967432 55088361 61209290 73451148 91813935 97934864 110176722 122418580 146902296 183627870 220353444 244837160 275441805 293804592 367255740 440706888 489674320 550883610 734511480 881413776 1101767220 1469022960 2203534440 4407068880