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14242752 = 263279313
BaseRepresentation
bin110110010101…
…001111000000
3222210121101100
4312111033000
512121232002
61225134400
7232030026
oct66251700
928717340
1014242752
118048877
12492a400
132c48a84
141c6a716
1513b511c
hexd953c0

14242752 has 84 divisors (see below), whose sum is σ = 41473120. Its totient is φ = 4672512.

The previous prime is 14242751. The next prime is 14242757. The reversal of 14242752 is 25724241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14242751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45348 + ... + 45660.

Almost surely, 214242752 is an apocalyptic number.

14242752 is a gapful number since it is divisible by the number (12) 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 14242752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736560).

14242752 is an abundant number, since it is smaller than the sum of its proper divisors (27230368).

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

14242752 is a wasteful number, since it uses less digits than its factorization.

14242752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 397 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 14242752 is about 3773.9570744777. The cubic root of 14242752 is about 242.3992680434.

Adding to 14242752 its reverse (25724241), we get a palindrome (39966993).

The spelling of 14242752 in words is "fourteen million, two hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 144 158 192 237 288 313 316 474 576 626 632 711 939 948 1252 1264 1422 1878 1896 2504 2528 2817 2844 3756 3792 5008 5056 5634 5688 7512 7584 10016 11268 11376 15024 15168 20032 22536 22752 24727 30048 45072 45504 49454 60096 74181 90144 98908 148362 180288 197816 222543 296724 395632 445086 593448 791264 890172 1186896 1582528 1780344 2373792 3560688 4747584 7121376 14242752