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3969216 = 26332297
BaseRepresentation
bin1111001001000011000000
321110122202000
433021003000
52004003331
6221024000
745511026
oct17110300
97418660
103969216
112271149
1213b5000
13a8c864
14754716
155360e6
hex3c90c0

3969216 has 56 divisors (see below), whose sum is σ = 11673840. Its totient is φ = 1322496.

The previous prime is 3969193. The next prime is 3969221. The reversal of 3969216 is 6129693.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 580 + ... + 2876.

Almost surely, 23969216 is an apocalyptic number.

3969216 is a gapful number since it is divisible by the number (36) 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 3969216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5836920).

3969216 is an abundant number, since it is smaller than the sum of its proper divisors (7704624).

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

3969216 is a wasteful number, since it uses less digits than its factorization.

3969216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2302 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 3969216 is about 1992.2891356427. The cubic root of 3969216 is about 158.3318347657.

The spelling of 3969216 in words is "three million, nine hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2297 4594 6891 9188 13782 18376 20673 27564 36752 41346 55128 62019 73504 82692 110256 124038 147008 165384 220512 248076 330768 441024 496152 661536 992304 1323072 1984608 3969216