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14478984 = 23321331499
BaseRepresentation
bin110111001110…
…111010001000
31000020121102200
4313032322020
512201311414
61234200200
7234032532
oct67167210
930217380
1014478984
11819a303
124a23060
132ccc460
141ccc852
151410109
hexdcee88

14478984 has 96 divisors (see below), whose sum is σ = 43680000. Its totient is φ = 4302720.

The previous prime is 14478979. The next prime is 14478991. The reversal of 14478984 is 48987441.

14478984 = T40 + T41 + ... + T442.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 28767 + ... + 29265.

It is an arithmetic number, because the mean of its divisors is an integer number (455000).

Almost surely, 214478984 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 14478984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21840000).

14478984 is an abundant number, since it is smaller than the sum of its proper divisors (29201016).

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

14478984 is a wasteful number, since it uses less digits than its factorization.

14478984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 548 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 14478984 is about 3805.1260163101. The cubic root of 14478984 is about 243.7320807340.

The spelling of 14478984 in words is "fourteen million, four hundred seventy-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 468 499 558 744 806 936 998 1116 1209 1497 1612 1996 2232 2418 2994 3224 3627 3992 4491 4836 5988 6487 7254 8982 9672 11976 12974 14508 15469 17964 19461 25948 29016 30938 35928 38922 46407 51896 58383 61876 77844 92814 116766 123752 139221 155688 185628 201097 233532 278442 371256 402194 467064 556884 603291 804388 1113768 1206582 1608776 1809873 2413164 3619746 4826328 7239492 14478984