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4248096 = 2531719137
BaseRepresentation
bin10000001101001000100000
321222211021220
4100031020200
52041414341
6231015040
751052056
oct20151040
97884256
104248096
112441726
12150a480
13b59788
147c81d6
1558da66
hex40d220

4248096 has 96 divisors (see below), whose sum is σ = 12519360. Its totient is φ = 1253376.

The previous prime is 4248091. The next prime is 4248103. The reversal of 4248096 is 6908424.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4248091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30940 + ... + 31076.

It is an arithmetic number, because the mean of its divisors is an integer number (130410).

Almost surely, 24248096 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 4248096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6259680).

4248096 is an abundant number, since it is smaller than the sum of its proper divisors (8271264).

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

4248096 is a wasteful number, since it uses less digits than its factorization.

4248096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4248096 is about 2061.0909732469. The cubic root of 4248096 is about 161.9563973493.

The spelling of 4248096 in words is "four million, two hundred forty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 68 76 96 102 114 136 137 152 204 228 272 274 304 323 408 411 456 544 548 608 646 816 822 912 969 1096 1292 1632 1644 1824 1938 2192 2329 2584 2603 3288 3876 4384 4658 5168 5206 6576 6987 7752 7809 9316 10336 10412 13152 13974 15504 15618 18632 20824 27948 31008 31236 37264 41648 44251 55896 62472 74528 83296 88502 111792 124944 132753 177004 223584 249888 265506 354008 531012 708016 1062024 1416032 2124048 4248096