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14049696 = 253314721
BaseRepresentation
bin110101100110…
…000110100000
3222102210120010
4311212012200
512044042241
61221044520
7230264133
oct65460640
928383503
1014049696
117a26821
124856740
132babc3b
141c1a21a
151377d16
hexd661a0

14049696 has 48 divisors (see below), whose sum is σ = 38078208. Its totient is φ = 4531200.

The previous prime is 14049661. The next prime is 14049697. The reversal of 14049696 is 69694041.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (14049697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 616 + ... + 5336.

It is an arithmetic number, because the mean of its divisors is an integer number (793296).

Almost surely, 214049696 is an apocalyptic number.

14049696 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 14049696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19039104).

14049696 is an abundant number, since it is smaller than the sum of its proper divisors (24028512).

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

14049696 is a wasteful number, since it uses less digits than its factorization.

14049696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4765 (or 4757 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 14049696 is about 3748.2924112187. The cubic root of 14049696 is about 241.2990668630.

The spelling of 14049696 in words is "fourteen million, forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 4721 9442 14163 18884 28326 37768 56652 75536 113304 146351 151072 226608 292702 439053 453216 585404 878106 1170808 1756212 2341616 3512424 4683232 7024848 14049696