Search a number
-
+
3914912 = 251947137
BaseRepresentation
bin1110111011110010100000
321100220020202
432323302200
52000234122
6215524332
745163511
oct16736240
97326222
103914912
112234371
1213896a8
13a70c21
1473ca08
15524e92
hex3bbca0

3914912 has 48 divisors (see below), whose sum is σ = 8346240. Its totient is φ = 1801728.

The previous prime is 3914903. The next prime is 3914921. The reversal of 3914912 is 2194193.

3914912 = T203 + T204 + ... + T316.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3914903) and next prime (3914921).

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, 28508 + ... + 28644.

It is an arithmetic number, because the mean of its divisors is an integer number (173880).

Almost surely, 23914912 is an apocalyptic number.

3914912 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 3914912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173120).

3914912 is an abundant number, since it is smaller than the sum of its proper divisors (4431328).

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

3914912 is a wasteful number, since it uses less digits than its factorization.

3914912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its digits is 1944, while the sum is 29.

The square root of 3914912 is about 1978.6136560734. The cubic root of 3914912 is about 157.6064552828.

The spelling of 3914912 in words is "three million, nine hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 47 76 94 137 152 188 274 304 376 548 608 752 893 1096 1504 1786 2192 2603 3572 4384 5206 6439 7144 10412 12878 14288 20824 25756 28576 41648 51512 83296 103024 122341 206048 244682 489364 978728 1957456 3914912