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4268544 = 2937397
BaseRepresentation
bin10000010010001000000000
322000212100020
4100102020000
52043043134
6231253440
751165510
oct20221000
98025306
104268544
112456025
12151a280
13b65b87
147d1840
15594b49
hex412200

4268544 has 80 divisors (see below), whose sum is σ = 13028928. Its totient is φ = 1216512.

The previous prime is 4268543. The next prime is 4268557. The reversal of 4268544 is 4458624.

It is a super-3 number, since 3×42685443 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4268543) 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, 10554 + ... + 10950.

Almost surely, 24268544 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 4268544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6514464).

4268544 is an abundant number, since it is smaller than the sum of its proper divisors (8760384).

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

4268544 is an equidigital number, since it uses as much as digits as its factorization.

4268544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 4268544 is about 2066.0454980469. The cubic root of 4268544 is about 162.2158378950.

It can be divided in two parts, 42 and 68544, that added together give a palindrome (68586).

The spelling of 4268544 in words is "four million, two hundred sixty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 397 448 512 672 768 794 896 1191 1344 1536 1588 1792 2382 2688 2779 3176 3584 4764 5376 5558 6352 8337 9528 10752 11116 12704 16674 19056 22232 25408 33348 38112 44464 50816 66696 76224 88928 101632 133392 152448 177856 203264 266784 304896 355712 533568 609792 711424 1067136 1422848 2134272 4268544