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39385216 = 271323669
BaseRepresentation
bin1001011000111…
…1100010000000
32202002222100201
42112033202000
540040311331
63524054544
7655524463
oct226174200
982088321
1039385216
1120260772
1211234454
13820ca80
1453332da
1536cea61
hex258f880

39385216 has 32 divisors (see below), whose sum is σ = 84501900. Its totient is φ = 18177024.

The previous prime is 39385207. The next prime is 39385217. The reversal of 39385216 is 61258393.

It can be written as a sum of positive squares in 2 ways, for example, as 36481600 + 2903616 = 6040^2 + 1704^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (39385217) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10171 + ... + 13498.

Almost surely, 239385216 is an apocalyptic number.

It is an amenable number.

39385216 is an abundant number, since it is smaller than the sum of its proper divisors (45116684).

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

39385216 is a wasteful number, since it uses less digits than its factorization.

39385216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23696 (or 23684 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 39385216 is about 6275.7641765764. The cubic root of 39385216 is about 340.2340257318.

It can be divided in two parts, 39385 and 216, that added together give a square (39601 = 1992).

The spelling of 39385216 in words is "thirty-nine million, three hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 23669 47338 94676 189352 307697 378704 615394 757408 1230788 1514816 2461576 3029632 4923152 9846304 19692608 39385216