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14049792 = 29323049
BaseRepresentation
bin110101100110…
…001000000000
3222102210200200
4311212020000
512044043132
61221045200
7230264331
oct65461000
928383620
1014049792
117a268a9
124856800
132babcb3
141c1a288
151377d7c
hexd66200

14049792 has 60 divisors (see below), whose sum is σ = 40561950. Its totient is φ = 4681728.

The previous prime is 14049787. The next prime is 14049793. The reversal of 14049792 is 29794041.

It can be written as a sum of positive squares in only one way, i.e., 13660416 + 389376 = 3696^2 + 624^2 .

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (14049793) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3084 + ... + 6132.

Almost surely, 214049792 is an apocalyptic number.

14049792 is a gapful number since it is divisible by the number (12) 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 14049792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20280975).

14049792 is an abundant number, since it is smaller than the sum of its proper divisors (26512158).

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

14049792 is an equidigital number, since it uses as much as digits as its factorization.

14049792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 14049792 is about 3748.3052170281. The cubic root of 14049792 is about 241.2996164516.

It can be divided in two parts, 14049 and 792, that added together give a palindrome (14841).

The spelling of 14049792 in words is "fourteen million, forty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 3049 4608 6098 9147 12196 18294 24392 27441 36588 48784 54882 73176 97568 109764 146352 195136 219528 292704 390272 439056 585408 780544 878112 1170816 1561088 1756224 2341632 3512448 4683264 7024896 14049792