Search a number
-
+
39797820 = 22325239613
BaseRepresentation
bin1001011111010…
…0010000111100
32202212221100100
42113310100330
540142012240
63541001100
7662163426
oct227642074
982787310
1039797820
1120512767
12113b3190
13832580a
1453dd816
153761e30
hex25f443c

39797820 has 72 divisors (see below), whose sum is σ = 125981856. Its totient is φ = 10150272.

The previous prime is 39797819. The next prime is 39797869. The reversal of 39797820 is 2879793.

39797820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 667 + ... + 8946.

It is an arithmetic number, because the mean of its divisors is an integer number (1749748).

Almost surely, 239797820 is an apocalyptic number.

39797820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39797820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62990928).

39797820 is an abundant number, since it is smaller than the sum of its proper divisors (86184036).

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

39797820 is a wasteful number, since it uses less digits than its factorization.

39797820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9651 (or 9646 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 39797820 is about 6308.5513392537. The cubic root of 39797820 is about 341.4180108960.

The spelling of 39797820 in words is "thirty-nine million, seven hundred ninety-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 9613 19226 28839 38452 48065 57678 86517 96130 115356 144195 173034 192260 221099 288390 346068 432585 442198 576780 663297 865170 884396 1105495 1326594 1730340 1989891 2210990 2653188 3316485 3979782 4421980 6632970 7959564 9949455 13265940 19898910 39797820