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86402900 = 2252864029
BaseRepresentation
bin1010010011001…
…10011101010100
320000120201111102
411021212131110
5134104343100
612323525232
72066261333
oct511463524
9200521442
1086402900
1144854861
1224b29818
1314b9289c
14b691d1a
1578bacd5
hex5266754

86402900 has 18 divisors (see below), whose sum is σ = 187494510. Its totient is φ = 34561120.

The previous prime is 86402887. The next prime is 86402903. The reversal of 86402900 is 920468.

It can be written as a sum of positive squares in 3 ways, for example, as 21696964 + 64705936 = 4658^2 + 8044^2 .

It is a super-2 number, since 2×864029002 = 14930922256820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86402903) 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 5 ways as a sum of consecutive naturals, for example, 431915 + ... + 432114.

Almost surely, 286402900 is an apocalyptic number.

It is an amenable number.

86402900 is an abundant number, since it is smaller than the sum of its proper divisors (101091610).

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

86402900 is a wasteful number, since it uses less digits than its factorization.

86402900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864043 (or 864036 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 86402900 is about 9295.3160247514. The cubic root of 86402900 is about 442.0887259349.

The spelling of 86402900 in words is "eighty-six million, four hundred two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 864029 1728058 3456116 4320145 8640290 17280580 21600725 43201450 86402900