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14768896 = 28311861
BaseRepresentation
bin111000010101…
…101100000000
31000210100010011
4320111230000
512240101041
61244314304
7236351002
oct70255400
930710104
1014768896
1183780aa
124b42994
1330a13bc
141d66372
15146ae81
hexe15b00

14768896 has 36 divisors (see below), whose sum is σ = 30447424. Its totient is φ = 7142400.

The previous prime is 14768891. The next prime is 14768899. The reversal of 14768896 is 69886741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14768891) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7006 + ... + 8866.

Almost surely, 214768896 is an apocalyptic number.

14768896 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 14768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15223712).

14768896 is an abundant number, since it is smaller than the sum of its proper divisors (15678528).

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

14768896 is an equidigital number, since it uses as much as digits as its factorization.

14768896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1894 counting only the distinct ones).

The product of its digits is 580608, while the sum is 49.

The square root of 14768896 is about 3843.0321362174. The cubic root of 14768896 is about 245.3480877495.

The spelling of 14768896 in words is "fourteen million, seven hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 992 1861 1984 3722 3968 7444 7936 14888 29776 57691 59552 115382 119104 230764 238208 461528 476416 923056 1846112 3692224 7384448 14768896