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86482980 = 22325480461
BaseRepresentation
bin1010010011110…
…10000000100100
320000201210100100
411021322000210
5134114423410
612325344100
72100043653
oct511720044
9200653310
1086482980
11448a9a41
1224b68030
1314bc017c
14b6b319a
1578d48c0
hex527a024

86482980 has 36 divisors (see below), whose sum is σ = 262332252. Its totient is φ = 23062080.

The previous prime is 86482951. The next prime is 86482987. The reversal of 86482980 is 8928468.

It is a happy number.

86482980 is a `hidden beast` number, since 86 + 482 + 98 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57517056 + 28965924 = 7584^2 + 5382^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (86482987) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240051 + ... + 240410.

It is an arithmetic number, because the mean of its divisors is an integer number (7287007).

Almost surely, 286482980 is an apocalyptic number.

It is an amenable number.

86482980 is an abundant number, since it is smaller than the sum of its proper divisors (175849272).

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

86482980 is a wasteful number, since it uses less digits than its factorization.

86482980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480476 (or 480471 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 86482980 is about 9299.6225729865. The cubic root of 86482980 is about 442.2252627624.

It can be divided in two parts, 8648 and 2980, that added together give a triangular number (11628 = T152).

The spelling of 86482980 in words is "eighty-six million, four hundred eighty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 480461 960922 1441383 1921844 2402305 2882766 4324149 4804610 5765532 7206915 8648298 9609220 14413830 17296596 21620745 28827660 43241490 86482980