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14842428 = 22317312347
BaseRepresentation
bin111000100111…
…101000111100
31000221001222120
4320213220330
512244424203
61250042540
7240105246
oct70475074
930831876
1014842428
118418377
124b79450
1330c8a03
141d85096
151482b53
hexe27a3c

14842428 has 48 divisors (see below), whose sum is σ = 37868544. Its totient is φ = 4504320.

The previous prime is 14842427. The next prime is 14842447. The reversal of 14842428 is 82424841.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14842423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5151 + ... + 7497.

It is an arithmetic number, because the mean of its divisors is an integer number (788928).

Almost surely, 214842428 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 14842428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18934272).

14842428 is an abundant number, since it is smaller than the sum of its proper divisors (23026116).

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

14842428 is a wasteful number, since it uses less digits than its factorization.

14842428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2400 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The square root of 14842428 is about 3852.5871826605. The cubic root of 14842428 is about 245.7545969687.

The spelling of 14842428 in words is "fourteen million, eight hundred forty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 527 1054 1581 2108 2347 3162 4694 6324 7041 9388 14082 28164 39899 72757 79798 119697 145514 159596 218271 239394 291028 436542 478788 873084 1236869 2473738 3710607 4947476 7421214 14842428