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3914896 = 241737389
BaseRepresentation
bin1110111011110010010000
321100220020011
432323302100
52000234041
6215524304
745163456
oct16736220
97326204
103914896
112234357
121389694
13a70c0b
1473c9d6
15524e81
hex3bbc90

3914896 has 40 divisors (see below), whose sum is σ = 8269560. Its totient is φ = 1787904.

The previous prime is 3914891. The next prime is 3914903. The reversal of 3914896 is 6984193.

It can be written as a sum of positive squares in 4 ways, for example, as 1354896 + 2560000 = 1164^2 + 1600^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3914891) 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, 9870 + ... + 10258.

It is an arithmetic number, because the mean of its divisors is an integer number (206739).

Almost surely, 23914896 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 3914896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134780).

3914896 is an abundant number, since it is smaller than the sum of its proper divisors (4354664).

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

3914896 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 3914896 = (1389694)12.

3914896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 445 counting only the distinct ones).

The product of its digits is 46656, while the sum is 40.

The square root of 3914896 is about 1978.6096128342. The cubic root of 3914896 is about 157.6062405733.

The spelling of 3914896 in words is "three million, nine hundred fourteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 296 389 592 629 778 1258 1556 2516 3112 5032 6224 6613 10064 13226 14393 26452 28786 52904 57572 105808 115144 230288 244681 489362 978724 1957448 3914896