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4240896 = 29311251
BaseRepresentation
bin10000001011011000000000
321222110102020
4100023120000
52041202041
6230521440
751022062
oct20133000
97873366
104240896
112437280
121506280
13b5640a
147c5732
1558b866
hex40b600

4240896 has 80 divisors (see below), whose sum is σ = 12374208. Its totient is φ = 1280000.

The previous prime is 4240853. The next prime is 4240909. The reversal of 4240896 is 6980424.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 16771 + ... + 17021.

Almost surely, 24240896 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 4240896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187104).

4240896 is an abundant number, since it is smaller than the sum of its proper divisors (8133312).

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

4240896 is a wasteful number, since it uses less digits than its factorization.

4240896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 267 counting only the distinct ones).

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

The square root of 4240896 is about 2059.3435847376. The cubic root of 4240896 is about 161.8648468858.

The spelling of 4240896 in words is "four million, two hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 251 256 264 352 384 502 512 528 704 753 768 1004 1056 1408 1506 1536 2008 2112 2761 2816 3012 4016 4224 5522 5632 6024 8032 8283 8448 11044 12048 16064 16566 16896 22088 24096 32128 33132 44176 48192 64256 66264 88352 96384 128512 132528 176704 192768 265056 353408 385536 530112 706816 1060224 1413632 2120448 4240896