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8053077825 = 3252132753189
BaseRepresentation
bin1111000000000000…
…00011011101000001
3202210020021201222200
413200000003131001
5112443041442300
63411033223413
7403364014002
oct74000033501
922706251880
108053077825
113462830621
121688b61b69
139b4538410
145657631a9
15321ed2200
hex1e0003741

8053077825 has 36 divisors (see below), whose sum is σ = 15533497980. Its totient is φ = 3964590720.

The previous prime is 8053077811. The next prime is 8053077829. The reversal of 8053077825 is 5287703508.

It can be written as a sum of positive squares in 6 ways, for example, as 2143296 + 8050934529 = 1464^2 + 89727^2 .

It is not a de Polignac number, because 8053077825 - 26 = 8053077761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8053077829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1373670 + ... + 1379519.

It is an arithmetic number, because the mean of its divisors is an integer number (431486055).

Almost surely, 28053077825 is an apocalyptic number.

It is an amenable number.

8053077825 is a deficient number, since it is larger than the sum of its proper divisors (7480420155).

8053077825 is a wasteful number, since it uses less digits than its factorization.

8053077825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753218 (or 2753210 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 8053077825 is about 89738.9426336192. The cubic root of 8053077825 is about 2004.4134058440.

The spelling of 8053077825 in words is "eight billion, fifty-three million, seventy-seven thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2925 2753189 8259567 13765945 24778701 35791457 41297835 68829725 107374371 123893505 178957285 206489175 322123113 536871855 619467525 894786425 1610615565 2684359275 8053077825