Search a number
-
+
8045267040 = 253255586991
BaseRepresentation
bin1110111111000100…
…10000100001100000
3202202200120220121100
413133202100201200
5112434042021130
63410153554400
7403240433016
oct73742204140
922680526540
108045267040
113459386228
121686415a00
139b2a32155
145646cc8b6
1532148cc60
hex1df890860

8045267040 has 72 divisors (see below), whose sum is σ = 27454478688. Its totient is φ = 2145404160.

The previous prime is 8045266987. The next prime is 8045267053. The reversal of 8045267040 is 407625408.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8045266986 and 8045267004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2792056 + ... + 2794935.

It is an arithmetic number, because the mean of its divisors is an integer number (381312204).

Almost surely, 28045267040 is an apocalyptic number.

8045267040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8045267040 is an abundant number, since it is smaller than the sum of its proper divisors (19409211648).

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

8045267040 is a wasteful number, since it uses less digits than its factorization.

8045267040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5587012 (or 5587001 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 8045267040 is about 89695.4125917262. The cubic root of 8045267040 is about 2003.7651606679.

The spelling of 8045267040 in words is "eight billion, forty-five million, two hundred sixty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 5586991 11173982 16760973 22347964 27934955 33521946 44695928 50282919 55869910 67043892 83804865 89391856 100565838 111739820 134087784 167609730 178783712 201131676 223479640 251414595 268175568 335219460 402263352 446959280 502829190 536351136 670438920 804526704 893918560 1005658380 1340877840 1609053408 2011316760 2681755680 4022633520 8045267040