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3939072 = 28323223
BaseRepresentation
bin1111000001101100000000
321102010101120
433001230000
52002022242
6220232240
745324114
oct17015400
97363346
103939072
112250535
12139b680
13a7bc17
14747744
1552c1ec
hex3c1b00

3939072 has 72 divisors (see below), whose sum is σ = 10988544. Its totient is φ = 1250304.

The previous prime is 3939071. The next prime is 3939149. The reversal of 3939072 is 2709393.

It is not an unprimeable number, because it can be changed into a prime (3939071) 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, 17553 + ... + 17775.

Almost surely, 23939072 is an apocalyptic number.

3939072 is a gapful number since it is divisible by the number (32) 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 3939072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494272).

3939072 is an abundant number, since it is smaller than the sum of its proper divisors (7049472).

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

3939072 is a wasteful number, since it uses less digits than its factorization.

3939072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 33.

The square root of 3939072 is about 1984.7095505388. The cubic root of 3939072 is about 157.9300015736.

The spelling of 3939072 in words is "three million, nine hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 223 256 276 368 384 446 552 669 736 768 892 1104 1338 1472 1784 2208 2676 2944 3568 4416 5129 5352 5888 7136 8832 10258 10704 14272 15387 17664 20516 21408 28544 30774 41032 42816 57088 61548 82064 85632 123096 164128 171264 246192 328256 492384 656512 984768 1313024 1969536 3939072