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4378408080 = 2435151120817
BaseRepresentation
bin1000001001111100…
…10011010010010000
3102022010202011202020
410010332103102100
532431333024310
62002244251440
7213333566064
oct40476232220
912263664666
104378408080
111947551882
12a223a0b80
1354a143117
142d76d7aa4
151a95c1170
hex104f93490

4378408080 has 80 divisors (see below), whose sum is σ = 13663065984. Its totient is φ = 1159833600.

The previous prime is 4378408063. The next prime is 4378408103. The reversal of 4378408080 is 808048734.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 24169 + ... + 96648.

Almost surely, 24378408080 is an apocalyptic number.

4378408080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4378408080 is an abundant number, since it is smaller than the sum of its proper divisors (9284657904).

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

4378408080 is a wasteful number, since it uses less digits than its factorization.

4378408080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120984 (or 120978 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 4378408080 is about 66169.5404245790. The cubic root of 4378408080 is about 1635.9577327012.

The spelling of 4378408080 in words is "four billion, three hundred seventy-eight million, four hundred eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 151 240 302 453 604 755 906 1208 1510 1812 2265 2416 3020 3624 4530 6040 7248 9060 12080 18120 36240 120817 241634 362451 483268 604085 724902 966536 1208170 1449804 1812255 1933072 2416340 2899608 3624510 4832680 5799216 7249020 9665360 14498040 18243367 28996080 36486734 54730101 72973468 91216835 109460202 145946936 182433670 218920404 273650505 291893872 364867340 437840808 547301010 729734680 875681616 1094602020 1459469360 2189204040 4378408080