Search a number
-
+
74563728 = 24359113233
BaseRepresentation
bin1000111000111…
…00000010010000
312012022020012120
410130130002100
5123042014403
611222054240
71563531651
oct434340220
9165266176
1074563728
11390a8918
1220b7a380
13125a8b65
149c8d528
15682ce53
hex471c090

74563728 has 80 divisors (see below), whose sum is σ = 198469440. Its totient is φ = 24113152.

The previous prime is 74563681. The next prime is 74563729. The reversal of 74563728 is 82736547.

It is a self number, because there is not a number n which added to its sum of digits gives 74563728.

It is not an unprimeable number, because it can be changed into a prime (74563729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319900 + ... + 320132.

It is an arithmetic number, because the mean of its divisors is an integer number (2480868).

Almost surely, 274563728 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 74563728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99234720).

74563728 is an abundant number, since it is smaller than the sum of its proper divisors (123905712).

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

74563728 is a wasteful number, since it uses less digits than its factorization.

74563728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 410 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 74563728 is about 8635.0291256023. The cubic root of 74563728 is about 420.8970396470.

The spelling of 74563728 in words is "seventy-four million, five hundred sixty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 113 118 177 226 233 236 339 354 452 466 472 678 699 708 904 932 944 1356 1398 1416 1808 1864 2712 2796 2832 3728 5424 5592 6667 11184 13334 13747 20001 26329 26668 27494 40002 41241 52658 53336 54988 78987 80004 82482 105316 106672 109976 157974 160008 164964 210632 219952 315948 320016 329928 421264 631896 659856 1263792 1553411 3106822 4660233 6213644 9320466 12427288 18640932 24854576 37281864 74563728