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8045435740 = 2254113174897
BaseRepresentation
bin1110111111000101…
…11001101101011100
3202202200220111000111
413133202321231130
5112434112420430
63410201335404
7403242034606
oct73742715534
922680814014
108045435740
113459490a51
121686497564
139b2a90b84
14564734176
153214c2c2a
hex1df8b9b5c

8045435740 has 48 divisors (see below), whose sum is σ = 17439849504. Its totient is φ = 3115673600.

The previous prime is 8045435707. The next prime is 8045435747. The reversal of 8045435740 is 475345408.

It is a junction number, because it is equal to n+sod(n) for n = 8045435693 and 8045435702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8045435747) 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, 69972 + ... + 144868.

It is an arithmetic number, because the mean of its divisors is an integer number (363330198).

Almost surely, 28045435740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8045435740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8719924752).

8045435740 is an abundant number, since it is smaller than the sum of its proper divisors (9394413764).

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

8045435740 is a wasteful number, since it uses less digits than its factorization.

8045435740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75078 (or 75076 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

The square root of 8045435740 is about 89696.3529916351. The cubic root of 8045435740 is about 2003.7791661205.

The spelling of 8045435740 in words is "eight billion, forty-five million, four hundred thirty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 41 82 131 164 205 262 410 524 655 820 1310 2620 5371 10742 21484 26855 53710 74897 107420 149794 299588 374485 748970 1497940 3070777 6141554 9811507 12283108 15353885 19623014 30707770 39246028 49057535 61415540 98115070 196230140 402271787 804543574 1609087148 2011358935 4022717870 8045435740