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39241296 = 2432733733
BaseRepresentation
bin1001010110110…
…0011001010000
32201211122221100
42111230121100
540021210141
63521024400
7654355053
oct225543120
981748840
1039241296
1120172626
1211185100
13818c403
1452d6a9a
1536a20b6
hex256c650

39241296 has 60 divisors (see below), whose sum is σ = 111355348. Its totient is φ = 12897792.

The previous prime is 39241277. The next prime is 39241309. The reversal of 39241296 is 69214293.

It can be written as a sum of positive squares in 2 ways, for example, as 21902400 + 17338896 = 4680^2 + 4164^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 39241296.

It is a congruent number.

It is an unprimeable number.

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, 8646 + ... + 12378.

Almost surely, 239241296 is an apocalyptic number.

39241296 is a gapful number since it is divisible by the number (36) 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 39241296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55677674).

39241296 is an abundant number, since it is smaller than the sum of its proper divisors (72114052).

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

39241296 is a wasteful number, since it uses less digits than its factorization.

39241296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3811 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 39241296 is about 6264.2873497310. The cubic root of 39241296 is about 339.8190963820.

The spelling of 39241296 in words is "thirty-nine million, two hundred forty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 3733 5256 7466 10512 11199 14932 22398 29864 33597 44796 59728 67194 89592 134388 179184 268776 272509 537552 545018 817527 1090036 1635054 2180072 2452581 3270108 4360144 4905162 6540216 9810324 13080432 19620648 39241296