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14490828 = 223211233743
BaseRepresentation
bin110111010001…
…110011001100
31000021012200100
4313101303030
512202201303
61234331100
7234112212
oct67216314
930235610
1014490828
1181a81a0
124a29a90
133004971
141cd2cb2
1514138a3
hexdd1ccc

14490828 has 144 divisors (see below), whose sum is σ = 43819776. Its totient is φ = 3991680.

The previous prime is 14490823. The next prime is 14490869. The reversal of 14490828 is 82809441.

It is a super-2 number, since 2×144908282 = 419968192251168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 14490792 and 14490801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14490823) 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 47 ways as a sum of consecutive naturals, for example, 336975 + ... + 337017.

It is an arithmetic number, because the mean of its divisors is an integer number (304304).

Almost surely, 214490828 is an apocalyptic number.

14490828 is a gapful number since it is divisible by the number (18) 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 14490828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21909888).

14490828 is an abundant number, since it is smaller than the sum of its proper divisors (29328948).

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

14490828 is a wasteful number, since it uses less digits than its factorization.

14490828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 14490828 is about 3806.6820198173. The cubic root of 14490828 is about 243.7985213071.

The spelling of 14490828 in words is "fourteen million, four hundred ninety thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 37 43 44 46 66 69 74 86 92 99 111 129 132 138 148 172 198 207 222 253 258 276 333 387 396 407 414 444 473 506 516 666 759 774 814 828 851 946 989 1012 1221 1332 1419 1518 1548 1591 1628 1702 1892 1978 2277 2442 2553 2838 2967 3036 3182 3404 3663 3956 4257 4554 4773 4884 5106 5676 5934 6364 7326 7659 8514 8901 9108 9361 9546 10212 10879 11868 14319 14652 15318 17028 17501 17802 18722 19092 21758 28083 28638 30636 32637 35002 35604 36593 37444 43516 52503 56166 57276 65274 70004 73186 84249 97911 105006 109779 112332 130548 146372 157509 168498 195822 210012 219558 315018 329337 336996 391644 402523 439116 630036 658674 805046 1207569 1317348 1610092 2415138 3622707 4830276 7245414 14490828