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14749056 = 273273159
BaseRepresentation
bin111000010000…
…110110000000
31000202022220100
4320100312000
512233432211
61244042400
7236236110
oct70206600
930668810
1014749056
118364203
124b33400
13309536a
141d5d040
151465156
hexe10d80

14749056 has 192 divisors, whose sum is σ = 50918400. Its totient is φ = 4008960.

The previous prime is 14749039. The next prime is 14749057. The reversal of 14749056 is 65094741.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×147490562 = 435069305782272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 14749056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14749057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249955 + ... + 250013.

It is an arithmetic number, because the mean of its divisors is an integer number (265200).

Almost surely, 214749056 is an apocalyptic number.

14749056 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 14749056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25459200).

14749056 is an abundant number, since it is smaller than the sum of its proper divisors (36169344).

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

14749056 is a wasteful number, since it uses less digits than its factorization.

14749056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 14749056 is about 3840.4499736359. The cubic root of 14749056 is about 245.2381746052.

The spelling of 14749056 in words is "fourteen million, seven hundred forty-nine thousand, fifty-six".