Search a number
-
+
39260728 = 2313271409
BaseRepresentation
bin1001010111000…
…1001000111000
32201212122121001
42111301020320
540022320403
63521254344
7654465523
oct225611070
981778531
1039260728
1120186191
12111943b4
138198200
1452ddbba
1536a7c1d
hex2571238

39260728 has 48 divisors (see below), whose sum is σ = 81032400. Its totient is φ = 17821440.

The previous prime is 39260723. The next prime is 39260729. The reversal of 39260728 is 82706293.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39260723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95788 + ... + 96196.

It is an arithmetic number, because the mean of its divisors is an integer number (1688175).

Almost surely, 239260728 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 39260728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40516200).

39260728 is an abundant number, since it is smaller than the sum of its proper divisors (41771672).

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

39260728 is a wasteful number, since it uses less digits than its factorization.

39260728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 39260728 is about 6265.8381721841. The cubic root of 39260728 is about 339.8751790948.

The spelling of 39260728 in words is "thirty-nine million, two hundred sixty thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 71 104 142 169 284 338 409 568 676 818 923 1352 1636 1846 3272 3692 5317 7384 10634 11999 21268 23998 29039 42536 47996 58078 69121 95992 116156 138242 232312 276484 377507 552968 755014 1510028 3020056 4907591 9815182 19630364 39260728