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39891390 = 23572112467
BaseRepresentation
bin1001100000101…
…1000110111110
32210001200200220
42120023012332
540203011030
63543002210
7663033300
oct230130676
983050626
1039891390
1120576aa0
1211439366
138359296
145425970
15377ea10
hex260b1be

39891390 has 96 divisors (see below), whose sum is σ = 121544064. Its totient is φ = 8285760.

The previous prime is 39891359. The next prime is 39891413. The reversal of 39891390 is 9319893.

It is a happy number.

39891390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×398913902 = 3182645992264200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 14937 + ... + 17403.

It is an arithmetic number, because the mean of its divisors is an integer number (1266084).

Almost surely, 239891390 is an apocalyptic number.

39891390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39891390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60772032).

39891390 is an abundant number, since it is smaller than the sum of its proper divisors (81652674).

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

39891390 is a wasteful number, since it uses less digits than its factorization.

39891390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 39891390 is about 6315.9631094553. The cubic root of 39891390 is about 341.6853746118.

The spelling of 39891390 in words is "thirty-nine million, eight hundred ninety-one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 385 462 490 539 735 770 1078 1155 1470 1617 2310 2467 2695 3234 4934 5390 7401 8085 12335 14802 16170 17269 24670 27137 34538 37005 51807 54274 74010 81411 86345 103614 120883 135685 162822 172690 189959 241766 259035 271370 362649 379918 407055 518070 569877 604415 725298 814110 949795 1139754 1208830 1329713 1813245 1899590 2659426 2849385 3626490 3989139 5698770 6648565 7978278 13297130 19945695 39891390