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14444976 = 2437133307
BaseRepresentation
bin110111000110…
…100110110000
31000011212210010
4313012212300
512144214401
61233334520
7233531430
oct67064660
930155703
1014444976
1181767a7
124a07440
132cb9b30
141cc02c0
151404ed6
hexdc69b0

14444976 has 80 divisors (see below), whose sum is σ = 45941504. Its totient is φ = 3808512.

The previous prime is 14444971. The next prime is 14444993. The reversal of 14444976 is 67944441.

14444976 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (14444971) 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, 2715 + ... + 6021.

Almost surely, 214444976 is an apocalyptic number.

14444976 is a gapful number since it is divisible by the number (16) 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 14444976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22970752).

14444976 is an abundant number, since it is smaller than the sum of its proper divisors (31496528).

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

14444976 is a wasteful number, since it uses less digits than its factorization.

14444976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 3332 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 14444976 is about 3800.6546804465. The cubic root of 14444976 is about 243.5411064997.

The spelling of 14444976 in words is "fourteen million, four hundred forty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 3307 4368 6614 9921 13228 19842 23149 26456 39684 42991 46298 52912 69447 79368 85982 92596 128973 138894 158736 171964 185192 257946 277788 300937 343928 370384 515892 555576 601874 687856 902811 1031784 1111152 1203748 1805622 2063568 2407496 3611244 4814992 7222488 14444976