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85862052 = 22333721487
BaseRepresentation
bin1010001111000…
…10011010100100
312222120020121000
411013202122210
5133440041202
612304153300
72061546453
oct507423244
9188506530
1085862052
1144515481
1224908830
1314a33663
14b590b9a
15781091c
hex51e26a4

85862052 has 48 divisors (see below), whose sum is σ = 228632320. Its totient is φ = 27845856.

The previous prime is 85862047. The next prime is 85862081. The reversal of 85862052 is 25026858.

85862052 is a `hidden beast` number, since 8 + 586 + 20 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85861998 and 85862016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6748 + ... + 14739.

Almost surely, 285862052 is an apocalyptic number.

It is an amenable number.

85862052 is an abundant number, since it is smaller than the sum of its proper divisors (142770268).

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

85862052 is a wasteful number, since it uses less digits than its factorization.

85862052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21537 (or 21529 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 85862052 is about 9266.1778528150. The cubic root of 85862052 is about 441.1643609664.

The spelling of 85862052 in words is "eighty-five million, eight hundred sixty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3996 21487 42974 64461 85948 128922 193383 257844 386766 580149 773532 795019 1160298 1590038 2320596 2385057 3180076 4770114 7155171 9540228 14310342 21465513 28620684 42931026 85862052