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57026250 = 2325437137
BaseRepresentation
bin1101100110001…
…0011011001010
310222022020022100
43121202123022
5104044320000
65354134230
71261500201
oct331423312
9128266270
1057026250
112a20a736
1217121376
13ba78558
147806238
155016a00
hex36626ca

57026250 has 120 divisors (see below), whose sum is σ = 159726996. Its totient is φ = 14688000.

The previous prime is 57026243. The next prime is 57026261. The reversal of 57026250 is 5262075.

57026250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 8649 + 57017601 = 93^2 + 7551^2 .

It is a Curzon number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 416182 + ... + 416318.

Almost surely, 257026250 is an apocalyptic number.

57026250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57026250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79863498).

57026250 is an abundant number, since it is smaller than the sum of its proper divisors (102700746).

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

57026250 is a wasteful number, since it uses less digits than its factorization.

57026250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 57026250 is about 7551.5726838851. The cubic root of 57026250 is about 384.9091819293.

The spelling of 57026250 in words is "fifty-seven million, twenty-six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 125 137 150 185 222 225 250 274 333 370 375 411 450 555 625 666 685 750 822 925 1110 1125 1233 1250 1370 1665 1850 1875 2055 2250 2466 2775 3330 3425 3750 4110 4625 5069 5550 5625 6165 6850 8325 9250 10138 10275 11250 12330 13875 15207 16650 17125 20550 23125 25345 27750 30414 30825 34250 41625 45621 46250 50690 51375 61650 69375 76035 83250 85625 91242 102750 126725 138750 152070 154125 171250 208125 228105 253450 256875 308250 380175 416250 456210 513750 633625 760350 770625 1140525 1267250 1541250 1900875 2281050 3168125 3801750 5702625 6336250 9504375 11405250 19008750 28513125 57026250