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3912912 = 243229937
BaseRepresentation
bin1110111011010011010000
321100210111200
432323103100
52000203122
6215511200
745154623
oct16732320
97323450
103912912
112232913
121388500
13a70043
1473bdba
155245ac
hex3bb4d0

3912912 has 60 divisors (see below), whose sum is σ = 11340420. Its totient is φ = 1257984.

The previous prime is 3912901. The next prime is 3912919. The reversal of 3912912 is 2192193.

It can be written as a sum of positive squares in 2 ways, for example, as 968256 + 2944656 = 984^2 + 1716^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3912919) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3708 + ... + 4644.

It is an arithmetic number, because the mean of its divisors is an integer number (189007).

Almost surely, 23912912 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 3912912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670210).

3912912 is an abundant number, since it is smaller than the sum of its proper divisors (7427508).

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

3912912 is a wasteful number, since it uses less digits than its factorization.

3912912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 971 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 3912912 is about 1978.1081871323. The cubic root of 3912912 is about 157.5796120568.

The spelling of 3912912 in words is "three million, nine hundred twelve thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 937 1044 1392 1874 2088 2811 3748 4176 5622 7496 8433 11244 14992 16866 22488 27173 33732 44976 54346 67464 81519 108692 134928 163038 217384 244557 326076 434768 489114 652152 978228 1304304 1956456 3912912