Search a number
-
+
14828436 = 22327192163
BaseRepresentation
bin111000100100…
…001110010100
31000220100210100
4320210032110
512244002221
61245454100
7240016410
oct70441624
930810710
1014828436
118408907
124b71330
1330c252c
141d7dd40
15147d926
hexe24394

14828436 has 108 divisors (see below), whose sum is σ = 45488352. Its totient is φ = 3989088.

The previous prime is 14828423. The next prime is 14828441. The reversal of 14828436 is 63482841.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14828436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90891 + ... + 91053.

Almost surely, 214828436 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 14828436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22744176).

14828436 is an abundant number, since it is smaller than the sum of its proper divisors (30659916).

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

14828436 is a wasteful number, since it uses less digits than its factorization.

14828436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 194 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 14828436 is about 3850.7708319244. The cubic root of 14828436 is about 245.6773481651.

The spelling of 14828436 in words is "fourteen million, eight hundred twenty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 163 171 228 252 266 326 342 361 399 489 532 652 684 722 798 978 1083 1141 1197 1444 1467 1596 1956 2166 2282 2394 2527 2934 3097 3249 3423 4332 4564 4788 5054 5868 6194 6498 6846 7581 9291 10108 10269 12388 12996 13692 15162 18582 20538 21679 22743 27873 30324 37164 41076 43358 45486 55746 58843 65037 86716 90972 111492 117686 130074 176529 195111 235372 260148 353058 390222 411901 529587 706116 780444 823802 1059174 1235703 1647604 2118348 2471406 3707109 4942812 7414218 14828436