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57398850 = 23252229557
BaseRepresentation
bin1101101011110…
…1011001000010
311000000011102100
43122331121002
5104143230400
65410131230
71264611405
oct332753102
9130004370
1057398850
112a444673
1217280b16
13bb79022
1478a1d3c
15508c100
hex36bd642

57398850 has 72 divisors (see below), whose sum is σ = 155163060. Its totient is φ = 15212160.

The previous prime is 57398843. The next prime is 57398881. The reversal of 57398850 is 5889375.

It can be written as a sum of positive squares in 6 ways, for example, as 21650409 + 35748441 = 4653^2 + 5979^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 57398796 and 57398805.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102772 + ... + 103328.

Almost surely, 257398850 is an apocalyptic number.

57398850 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 57398850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77581530).

57398850 is an abundant number, since it is smaller than the sum of its proper divisors (97764210).

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

57398850 is a wasteful number, since it uses less digits than its factorization.

57398850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 57398850 is about 7576.2028747916. The cubic root of 57398850 is about 385.7456735186.

The spelling of 57398850 in words is "fifty-seven million, three hundred ninety-eight thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 229 450 458 557 687 1114 1145 1374 1671 2061 2290 2785 3342 3435 4122 5013 5570 5725 6870 8355 10026 10305 11450 13925 16710 17175 20610 25065 27850 34350 41775 50130 51525 83550 103050 125325 127553 250650 255106 382659 637765 765318 1147977 1275530 1913295 2295954 3188825 3826590 5739885 6377650 9566475 11479770 19132950 28699425 57398850