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59149000 = 235359149
BaseRepresentation
bin1110000110100…
…0101011001000
311010022002011201
43201220223020
5110120232000
65511433544
71315521031
oct341505310
9133262151
1059149000
113042a579
12179858b4
13c33c811
147bd9a88
1552d596a
hex3868ac8

59149000 has 32 divisors (see below), whose sum is σ = 138411000. Its totient is φ = 23659200.

The previous prime is 59148953. The next prime is 59149003. The reversal of 59149000 is 94195.

It can be written as a sum of positive squares in 4 ways, for example, as 37675044 + 21473956 = 6138^2 + 4634^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 59149000.

It is not an unprimeable number, because it can be changed into a prime (59149003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28575 + ... + 30574.

Almost surely, 259149000 is an apocalyptic number.

59149000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

59149000 is an abundant number, since it is smaller than the sum of its proper divisors (79262000).

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

59149000 is a wasteful number, since it uses less digits than its factorization.

59149000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59170 (or 59156 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 59149000 is about 7690.8387058890. The cubic root of 59149000 is about 389.6270816177.

The spelling of 59149000 in words is "fifty-nine million, one hundred forty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 59149 118298 236596 295745 473192 591490 1182980 1478725 2365960 2957450 5914900 7393625 11829800 14787250 29574500 59149000