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39682368 = 2632116263
BaseRepresentation
bin1001011101100…
…0000101000000
32202200001222100
42113120011000
540124313433
63534310400
7661203015
oct227300500
982601870
1039682368
1120443a50
1211358400
1382b50bb
1453ad70c
15373cb13
hex25d8140

39682368 has 84 divisors (see below), whose sum is σ = 124102368. Its totient is φ = 12023040.

The previous prime is 39682367. The next prime is 39682381. The reversal of 39682368 is 86328693.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39682361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3205 + ... + 9467.

Almost surely, 239682368 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 39682368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62051184).

39682368 is an abundant number, since it is smaller than the sum of its proper divisors (84420000).

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

39682368 is a wasteful number, since it uses less digits than its factorization.

39682368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6292 (or 6279 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 39682368 is about 6299.3942565932. The cubic root of 39682368 is about 341.0875441361.

It can be divided in two parts, 3968 and 2368, that added together give a palindrome (6336).

The spelling of 39682368 in words is "thirty-nine million, six hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6263 6336 12526 18789 25052 37578 50104 56367 68893 75156 100208 112734 137786 150312 200416 206679 225468 275572 300624 400832 413358 450936 551144 601248 620037 826716 901872 1102288 1202496 1240074 1653432 1803744 2204576 2480148 3306864 3607488 4409152 4960296 6613728 9920592 13227456 19841184 39682368