[go: up one dir, main page]

Search a number
-
+
14483742 = 2371341647
BaseRepresentation
bin110111010000…
…000100011110
31000020211221220
4313100010132
512201434432
61234234210
7234052440
oct67200436
930224856
1014483742
1181a2939
124a25966
133001680
141cd0490
15141172c
hexdd011e

14483742 has 64 divisors (see below), whose sum is σ = 36578304. Its totient is φ = 3720960.

The previous prime is 14483741. The next prime is 14483747. The reversal of 14483742 is 24738441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14483741) 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 31 ways as a sum of consecutive naturals, for example, 22063 + ... + 22709.

It is an arithmetic number, because the mean of its divisors is an integer number (571536).

Almost surely, 214483742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14483742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289152).

14483742 is an abundant number, since it is smaller than the sum of its proper divisors (22094562).

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

14483742 is a wasteful number, since it uses less digits than its factorization.

14483742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713.

The product of its digits is 21504, while the sum is 33.

The square root of 14483742 is about 3805.7511742099. The cubic root of 14483742 is about 243.7587757524.

It can be divided in two parts, 14483 and 742, that added together give a triangular number (15225 = T174).

The spelling of 14483742 in words is "fourteen million, four hundred eighty-three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 78 82 91 123 182 246 273 287 533 546 574 647 861 1066 1294 1599 1722 1941 3198 3731 3882 4529 7462 8411 9058 11193 13587 16822 22386 25233 26527 27174 50466 53054 58877 79581 117754 159162 176631 185689 344851 353262 371378 557067 689702 1034553 1114134 2069106 2413957 4827914 7241871 14483742