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408920080 = 24515133851
BaseRepresentation
bin11000010111111…
…010000000010000
31001111110021220011
4120113322000100
51314140420310
6104324324304
713063522552
oct3027720020
91044407804
10408920080
1119a908788
12b4b43694
136694575a
143c4474d2
1525d7678a
hex185fa010

408920080 has 40 divisors (see below), whose sum is σ = 957063744. Its totient is φ = 162480000.

The previous prime is 408920077. The next prime is 408920107. The reversal of 408920080 is 80029804.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4846 + ... + 29005.

Almost surely, 2408920080 is an apocalyptic number.

408920080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408920080 is an abundant number, since it is smaller than the sum of its proper divisors (548143664).

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

408920080 is a wasteful number, since it uses less digits than its factorization.

408920080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34015 (or 34009 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 408920080 is about 20221.7724247901. The cubic root of 408920080 is about 742.2430601332.

Adding to 408920080 its reverse (80029804), we get a palindrome (488949884).

The spelling of 408920080 in words is "four hundred eight million, nine hundred twenty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 604 755 1208 1510 2416 3020 6040 12080 33851 67702 135404 169255 270808 338510 541616 677020 1354040 2708080 5111501 10223002 20446004 25557505 40892008 51115010 81784016 102230020 204460040 408920080