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28586000 = 245314293
BaseRepresentation
bin110110100001…
…1000000010000
31222210022121202
41231003000100
524304223000
62500410332
7464656052
oct155030020
958708552
1028586000
11151550a3
1296a69a8
135bcb4c1
143b218d2
152799dd5
hex1b43010

28586000 has 40 divisors (see below), whose sum is σ = 69125784. Its totient is φ = 11433600.

The previous prime is 28585981. The next prime is 28586017. The reversal of 28586000 is 68582.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8479744 + 20106256 = 2912^2 + 4484^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5147 + ... + 9146.

Almost surely, 228586000 is an apocalyptic number.

28586000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28586000 is an abundant number, since it is smaller than the sum of its proper divisors (40539784).

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

28586000 is a wasteful number, since it uses less digits than its factorization.

28586000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14316 (or 14300 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 28586000 is about 5346.5876968399. The cubic root of 28586000 is about 305.7626707208.

The spelling of 28586000 in words is "twenty-eight million, five hundred eighty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 14293 28586 57172 71465 114344 142930 228688 285860 357325 571720 714650 1143440 1429300 1786625 2858600 3573250 5717200 7146500 14293000 28586000