Search a number
-
+
57924930 = 23571132441
BaseRepresentation
bin1101110011110…
…1110101000010
311000222220001210
43130331311002
5104312044210
65425310550
71302232230
oct334756502
9130886053
1057924930
112a773948
1217495456
13c00160b
14799b950
155142e20
hex373dd42

57924930 has 64 divisors (see below), whose sum is σ = 160351488. Its totient is φ = 13117440.

The previous prime is 57924907. The next prime is 57924931. The reversal of 57924930 is 3942975.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (57924931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22510 + ... + 24950.

It is an arithmetic number, because the mean of its divisors is an integer number (2505492).

Almost surely, 257924930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57924930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80175744).

57924930 is an abundant number, since it is smaller than the sum of its proper divisors (102426558).

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

57924930 is a wasteful number, since it uses less digits than its factorization.

57924930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571.

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 57924930 is about 7610.8429230933. The cubic root of 57924930 is about 386.9205881033.

The spelling of 57924930 in words is "fifty-seven million, nine hundred twenty-four thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 113 210 226 339 565 678 791 1130 1582 1695 2373 2441 3390 3955 4746 4882 7323 7910 11865 12205 14646 17087 23730 24410 34174 36615 51261 73230 85435 102522 170870 256305 275833 512610 551666 827499 1379165 1654998 1930831 2758330 3861662 4137495 5792493 8274990 9654155 11584986 19308310 28962465 57924930