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14142492 = 22337131439
BaseRepresentation
bin110101111100…
…110000011100
3222121111212000
4311330300130
512110024432
61223042300
7231131520
oct65746034
928544760
1014142492
117a8a511
1248a0390
132c12250
141c41d80
15139557c
hexd7cc1c

14142492 has 96 divisors (see below), whose sum is σ = 45158400. Its totient is φ = 3727296.

The previous prime is 14142481. The next prime is 14142497. The reversal of 14142492 is 29424141.

It is a happy number.

14142492 is a `hidden beast` number, since 1 + 414 + 249 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14142497) 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 31 ways as a sum of consecutive naturals, for example, 9109 + ... + 10547.

It is an arithmetic number, because the mean of its divisors is an integer number (470400).

Almost surely, 214142492 is an apocalyptic number.

14142492 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 14142492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22579200).

14142492 is an abundant number, since it is smaller than the sum of its proper divisors (31015908).

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

14142492 is a wasteful number, since it uses less digits than its factorization.

14142492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1464 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 14142492 is about 3760.6504756491. The cubic root of 14142492 is about 241.8291488113.

The spelling of 14142492 in words is "fourteen million, one hundred forty-two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1439 1638 2457 2878 3276 4317 4914 5756 8634 9828 10073 12951 17268 18707 20146 25902 30219 37414 38853 40292 51804 56121 60438 74828 77706 90657 112242 120876 130949 155412 168363 181314 224484 261898 271971 336726 362628 392847 505089 523796 543942 673452 785694 1010178 1087884 1178541 1571388 2020356 2357082 3535623 4714164 7071246 14142492