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14739648 = 263711997
BaseRepresentation
bin111000001110…
…100011000000
31000201211222220
4320032203000
512233132043
61243531040
7236166510
oct70164300
930654886
1014739648
118358130
124b29a80
133090cb1
141d59840
151462483
hexe0e8c0

14739648 has 112 divisors (see below), whose sum is σ = 48670464. Its totient is φ = 3824640.

The previous prime is 14739643. The next prime is 14739691. The reversal of 14739648 is 84693741.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (14739643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14286 + ... + 15282.

Almost surely, 214739648 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 14739648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24335232).

14739648 is an abundant number, since it is smaller than the sum of its proper divisors (33930816).

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

14739648 is a wasteful number, since it uses less digits than its factorization.

14739648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1020 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 14739648 is about 3839.2249217778. The cubic root of 14739648 is about 245.1860200473.

The spelling of 14739648 in words is "fourteen million, seven hundred thirty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 997 1056 1232 1344 1848 1994 2112 2464 2991 3696 3988 4928 5982 6979 7392 7976 10967 11964 13958 14784 15952 20937 21934 23928 27916 31904 32901 41874 43868 47856 55832 63808 65802 76769 83748 87736 95712 111664 131604 153538 167496 175472 191424 223328 230307 263208 307076 334992 350944 446656 460614 526416 614152 669984 701888 921228 1052832 1228304 1339968 1842456 2105664 2456608 3684912 4913216 7369824 14739648