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39052288 = 210113467
BaseRepresentation
bin1001010011111…
…0010000000000
32201111001200001
42110332100000
534444133123
63513005344
7652640032
oct224762000
981431601
1039052288
1120053620
12110b3854
138124382
145287c52
1536660ad
hex253e400

39052288 has 44 divisors (see below), whose sum is σ = 85187952. Its totient is φ = 17745920.

The previous prime is 39052271. The next prime is 39052289. The reversal of 39052288 is 88225093.

It is a tau number, because it is divible by the number of its divisors (44).

It is not an unprimeable number, because it can be changed into a prime (39052289) 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, 9531 + ... + 12997.

Almost surely, 239052288 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 39052288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42593976).

39052288 is an abundant number, since it is smaller than the sum of its proper divisors (46135664).

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

39052288 is a wasteful number, since it uses less digits than its factorization.

39052288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 39052288 is about 6249.1829865991. The cubic root of 39052288 is about 339.2726318892.

It can be divided in two parts, 39052 and 288, that added together give a triangular number (39340 = T280).

The spelling of 39052288 in words is "thirty-nine million, fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 3467 5632 6934 11264 13868 27736 38137 55472 76274 110944 152548 221888 305096 443776 610192 887552 1220384 1775104 2440768 3550208 4881536 9763072 19526144 39052288