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82403840 = 29532189
BaseRepresentation
bin1001110100101…
…10001000000000
312202001112211002
410322112020000
5132043410330
612102111132
72020264301
oct472261000
9182045732
1082403840
1142573252
122371b4a8
13140c258c
14ad307a8
15737ae45
hex4e96200

82403840 has 40 divisors (see below), whose sum is σ = 197582220. Its totient is φ = 32960512.

The previous prime is 82403837. The next prime is 82403851. The reversal of 82403840 is 4830428.

It can be written as a sum of positive squares in 2 ways, for example, as 79995136 + 2408704 = 8944^2 + 1552^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×824038403 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13535 + ... + 18654.

Almost surely, 282403840 is an apocalyptic number.

82403840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82403840 is an abundant number, since it is smaller than the sum of its proper divisors (115178380).

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

82403840 is an equidigital number, since it uses as much as digits as its factorization.

82403840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32212 (or 32196 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 82403840 is about 9077.6560851356. The cubic root of 82403840 is about 435.1601823432.

The spelling of 82403840 in words is "eighty-two million, four hundred three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 32189 64378 128756 160945 257512 321890 515024 643780 1030048 1287560 2060096 2575120 4120192 5150240 8240384 10300480 16480768 20600960 41201920 82403840