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8073414740 = 2255318014229
BaseRepresentation
bin1111000010011011…
…01000100001010100
3202211122112221222202
413201031220201110
5113013243232430
63413041144032
7404031615206
oct74115504124
922748487882
108073414740
113473260a96
12169392b018
139b8808cb1
14568338776
15323b9cd45
hex1e1368854

8073414740 has 48 divisors (see below), whose sum is σ = 17287739280. Its totient is φ = 3165926400.

The previous prime is 8073414737. The next prime is 8073414743. The reversal of 8073414740 is 474143708.

It is an interprime number because it is at equal distance from previous prime (8073414737) and next prime (8073414743).

It can be written as a sum of positive squares in 8 ways, for example, as 309337744 + 7764076996 = 17588^2 + 88114^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8073414694 and 8073414703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8073414743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1906946 + ... + 1911174.

It is an arithmetic number, because the mean of its divisors is an integer number (360161235).

Almost surely, 28073414740 is an apocalyptic number.

It is an amenable number.

8073414740 is an abundant number, since it is smaller than the sum of its proper divisors (9214324540).

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

8073414740 is a wasteful number, since it uses less digits than its factorization.

8073414740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6092 (or 6090 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 8073414740 is about 89852.1827225138. The cubic root of 8073414740 is about 2006.0992755108.

The spelling of 8073414740 in words is "eight billion, seventy-three million, four hundred fourteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 1801 3602 4229 7204 8458 9005 16916 18010 21145 36020 42290 84580 95453 190906 224137 381812 448274 477265 896548 954530 1120685 1909060 2241370 4482740 7616429 15232858 30465716 38082145 76164290 152328580 403670737 807341474 1614682948 2018353685 4036707370 8073414740