Search a number
-
+
57793980 = 22351098837
BaseRepresentation
bin1101110001110…
…1110110111100
311000202020102210
43130131312330
5104243401410
65422420420
71301145366
oct334356674
9130666383
1057793980
112a694522
1217431710
13bc86b2a
147965d36
155119220
hex371ddbc

57793980 has 48 divisors (see below), whose sum is σ = 163326240. Its totient is φ = 15268608.

The previous prime is 57793961. The next prime is 57793997. The reversal of 57793980 is 8939775.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2122 + ... + 10958.

It is an arithmetic number, because the mean of its divisors is an integer number (3402630).

Almost surely, 257793980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57793980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81663120).

57793980 is an abundant number, since it is smaller than the sum of its proper divisors (105532260).

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

57793980 is a wasteful number, since it uses less digits than its factorization.

57793980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8958 (or 8956 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The square root of 57793980 is about 7602.2351976244. The cubic root of 57793980 is about 386.6287996343.

The spelling of 57793980 in words is "fifty-seven million, seven hundred ninety-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 2180 3270 6540 8837 17674 26511 35348 44185 53022 88370 106044 132555 176740 265110 530220 963233 1926466 2889699 3852932 4816165 5779398 9632330 11558796 14448495 19264660 28896990 57793980