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2479422640 = 24536784449
BaseRepresentation
bin1001001111001000…
…1111110010110000
320101210110201110011
42103302033302300
520034213011030
61050010344304
7115304513302
oct22362176260
96353421404
102479422640
111062629a22
1259242b094
133068a62b6
14197415972
15e7a13b2a
hex93c8fcb0

2479422640 has 40 divisors (see below), whose sum is σ = 5780433600. Its totient is φ = 989054976.

The previous prime is 2479422629. The next prime is 2479422641. The reversal of 2479422640 is 462249742.

It is a happy number.

2479422640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×24794226402 = 12295073255489139200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2479422593 and 2479422602.

It is not an unprimeable number, because it can be changed into a prime (2479422641) 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, 12865 + ... + 71584.

It is an arithmetic number, because the mean of its divisors is an integer number (144510840).

Almost surely, 22479422640 is an apocalyptic number.

2479422640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2479422640 is an abundant number, since it is smaller than the sum of its proper divisors (3301010960).

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

2479422640 is a wasteful number, since it uses less digits than its factorization.

2479422640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84829 (or 84823 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 2479422640 is about 49793.8012206339. The cubic root of 2479422640 is about 1353.4748415585.

The spelling of 2479422640 in words is "two billion, four hundred seventy-nine million, four hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 367 734 1468 1835 2936 3670 5872 7340 14680 29360 84449 168898 337796 422245 675592 844490 1351184 1688980 3377960 6755920 30992783 61985566 123971132 154963915 247942264 309927830 495884528 619855660 1239711320 2479422640