Search a number
-
+
39960228 = 22371159733
BaseRepresentation
bin1001100001101…
…1111010100100
32210012012010110
42120123322210
540212211403
63544253020
7663441060
oct230337244
983165113
1039960228
1120613790
1211471170
138381709
145442aa0
153795103
hex261bea4

39960228 has 96 divisors (see below), whose sum is σ = 118379520. Its totient is φ = 10189440.

The previous prime is 39960197. The next prime is 39960229. The reversal of 39960228 is 82206993.

39960228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (39960229) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 54150 + ... + 54882.

It is an arithmetic number, because the mean of its divisors is an integer number (1233120).

Almost surely, 239960228 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 39960228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59189760).

39960228 is an abundant number, since it is smaller than the sum of its proper divisors (78419292).

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

39960228 is a wasteful number, since it uses less digits than its factorization.

39960228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 39960228 is about 6321.4102856878. The cubic root of 39960228 is about 341.8818031415.

The spelling of 39960228 in words is "thirty-nine million, nine hundred sixty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 59 66 77 84 118 132 154 177 231 236 308 354 413 462 649 708 733 826 924 1239 1298 1466 1652 1947 2199 2478 2596 2932 3894 4398 4543 4956 5131 7788 8063 8796 9086 10262 13629 15393 16126 18172 20524 24189 27258 30786 32252 43247 48378 54516 56441 61572 86494 96756 112882 129741 169323 172988 225764 259482 302729 338646 475717 518964 605458 677292 908187 951434 1210916 1427151 1816374 1902868 2854302 3330019 3632748 5708604 6660038 9990057 13320076 19980114 39960228