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82864040 = 2357295943
BaseRepresentation
bin1001111000001…
…10011110101000
312202220221002112
410330012132220
5132203122130
612120021452
72024222060
oct474063650
9182827075
1082864040
1142857a86
1223901888
1314223b9c
14b0103a0
15741c495
hex4f067a8

82864040 has 32 divisors (see below), whose sum is σ = 213079680. Its totient is φ = 28410432.

The previous prime is 82864007. The next prime is 82864043. The reversal of 82864040 is 4046828.

It is a junction number, because it is equal to n+sod(n) for n = 82863988 and 82864006.

It is not an unprimeable number, because it can be changed into a prime (82864043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147692 + ... + 148251.

It is an arithmetic number, because the mean of its divisors is an integer number (6658740).

Almost surely, 282864040 is an apocalyptic number.

It is an amenable number.

82864040 is an abundant number, since it is smaller than the sum of its proper divisors (130215640).

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

82864040 is a wasteful number, since it uses less digits than its factorization.

82864040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295961 (or 295957 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 82864040 is about 9102.9687465134. The cubic root of 82864040 is about 435.9687574055.

The spelling of 82864040 in words is "eighty-two million, eight hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 295943 591886 1183772 1479715 2071601 2367544 2959430 4143202 5918860 8286404 10358005 11837720 16572808 20716010 41432020 82864040