[go: up one dir, main page]

Search a number
-
+
14852916 = 22331371149
BaseRepresentation
bin111000101010…
…001100110100
31000221121101000
4320222030310
512300243131
61250203300
7240150651
oct70521464
930847330
1014852916
118425241
124b83530
133100710
141d88c28
151485ce6
hexe2a334

14852916 has 96 divisors (see below), whose sum is σ = 42336000. Its totient is φ = 4475520.

The previous prime is 14852899. The next prime is 14852921. The reversal of 14852916 is 61925841.

It is a super-2 number, since 2×148529162 = 441218227406112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 99610 + ... + 99758.

It is an arithmetic number, because the mean of its divisors is an integer number (441000).

Almost surely, 214852916 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 14852916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168000).

14852916 is an abundant number, since it is smaller than the sum of its proper divisors (27483084).

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

14852916 is a wasteful number, since it uses less digits than its factorization.

14852916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 238 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 14852916 is about 3853.9481055147. The cubic root of 14852916 is about 245.8124686176.

The spelling of 14852916 in words is "fourteen million, eight hundred fifty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 71 78 108 117 142 149 156 213 234 284 298 351 426 447 468 596 639 702 852 894 923 1278 1341 1404 1788 1846 1917 1937 2556 2682 2769 3692 3834 3874 4023 5364 5538 5811 7668 7748 8046 8307 10579 11076 11622 16092 16614 17433 21158 23244 24921 31737 33228 34866 42316 49842 52299 63474 69732 95211 99684 104598 126948 137527 190422 209196 275054 285633 380844 412581 550108 571266 825162 1142532 1237743 1650324 2475486 3713229 4950972 7426458 14852916