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57960225 = 3352175051
BaseRepresentation
bin1101110100011…
…0011100100001
311001001200111000
43131012130201
5104314211400
65430142213
71302440151
oct335063441
9131050430
1057960225
112a798414
12174b1969
13c0146bb
1479aa761
15514d600
hex3746721

57960225 has 48 divisors (see below), whose sum is σ = 112760640. Its totient is φ = 29088000.

The previous prime is 57960197. The next prime is 57960233. The reversal of 57960225 is 52206975.

57960225 is a `hidden beast` number, since 579 + 60 + 2 + 25 = 666.

57960225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57960225 - 25 = 57960193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57960225.

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 47 ways as a sum of consecutive naturals, for example, 8950 + ... + 14000.

It is an arithmetic number, because the mean of its divisors is an integer number (2349180).

Almost surely, 257960225 is an apocalyptic number.

It is an amenable number.

57960225 is a deficient number, since it is larger than the sum of its proper divisors (54800415).

57960225 is a wasteful number, since it uses less digits than its factorization.

57960225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5087 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 57960225 is about 7613.1613013255. The cubic root of 57960225 is about 386.9991587026. Note that the first 3 decimals are identical.

It can be divided in two parts, 57960 and 225, that added together give a palindrome (58185).

The spelling of 57960225 in words is "fifty-seven million, nine hundred sixty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 85 135 153 225 255 425 459 675 765 1275 2295 3825 5051 11475 15153 25255 45459 75765 85867 126275 136377 227295 257601 378825 429335 681885 772803 1136475 1288005 2146675 2318409 3409425 3864015 6440025 11592045 19320075 57960225