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8440404880 = 245398926449
BaseRepresentation
bin1111101110001011…
…00101101110010000
3210210020002222211011
413313011211232100
5114241220424010
63513311100304
7416106154255
oct76705455620
923706088734
108440404880
113641430126
121776811694
13a4686061b
145a0d8942c
15345ee0a8a
hex1f7165b90

8440404880 has 40 divisors (see below), whose sum is σ = 19629603000. Its totient is φ = 3375187968.

The previous prime is 8440404859. The next prime is 8440404883. The reversal of 8440404880 is 884040448.

It can be written as a sum of positive squares in 4 ways, for example, as 49112064 + 8391292816 = 7008^2 + 91604^2 .

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

It is a super-3 number, since 3×84404048803 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8440404883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305896 + ... + 332344.

It is an arithmetic number, because the mean of its divisors is an integer number (490740075).

Almost surely, 28440404880 is an apocalyptic number.

8440404880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8440404880 is an abundant number, since it is smaller than the sum of its proper divisors (11189198120).

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

8440404880 is a wasteful number, since it uses less digits than its factorization.

8440404880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30451 (or 30445 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 8440404880 is about 91871.6761575623. The cubic root of 8440404880 is about 2036.0468169713.

The spelling of 8440404880 in words is "eight billion, four hundred forty million, four hundred four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3989 7978 15956 19945 26449 31912 39890 52898 63824 79780 105796 132245 159560 211592 264490 319120 423184 528980 1057960 2115920 105505061 211010122 422020244 527525305 844040488 1055050610 1688080976 2110101220 4220202440 8440404880