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39243264 = 29329881
BaseRepresentation
bin1001010110110…
…0111000000000
32201211202122020
42111230320000
540021241024
63521041440
7654363564
oct225547000
981752566
1039243264
1120174055
1211186280
138190288
1452d76a4
1536a2979
hex256ce00

39243264 has 80 divisors (see below), whose sum is σ = 108274320. Its totient is φ = 12615680.

The previous prime is 39243263. The next prime is 39243287. The reversal of 39243264 is 46234293.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39243263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44104 + ... + 44984.

It is an arithmetic number, because the mean of its divisors is an integer number (1353429).

Almost surely, 239243264 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 39243264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54137160).

39243264 is an abundant number, since it is smaller than the sum of its proper divisors (69031056).

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

39243264 is an equidigital number, since it uses as much as digits as its factorization.

39243264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 915 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 39243264 is about 6264.4444286784. Note that the first 4 decimals coincide. The cubic root of 39243264 is about 339.8247770711.

The spelling of 39243264 in words is "thirty-nine million, two hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 881 928 1392 1536 1762 1856 2643 2784 3524 3712 5286 5568 7048 7424 10572 11136 14096 14848 21144 22272 25549 28192 42288 44544 51098 56384 76647 84576 102196 112768 153294 169152 204392 225536 306588 338304 408784 451072 613176 676608 817568 1226352 1353216 1635136 2452704 3270272 4905408 6540544 9810816 13081088 19621632 39243264