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14629056 = 263135861
BaseRepresentation
bin110111110011…
…100011000000
31000112020021220
4313303203000
512221112211
61241315040
7235226211
oct67634300
930466256
1014629056
118292032
124a95a80
133052860
141d2b408
15143e806
hexdf38c0

14629056 has 56 divisors (see below), whose sum is σ = 41690544. Its totient is φ = 4500480.

The previous prime is 14629051. The next prime is 14629057. The reversal of 14629056 is 65092641.

14629056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×146290562 = 428018558902272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14629051) 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, 435 + ... + 5426.

It is an arithmetic number, because the mean of its divisors is an integer number (744474).

Almost surely, 214629056 is an apocalyptic number.

14629056 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 14629056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20845272).

14629056 is an abundant number, since it is smaller than the sum of its proper divisors (27061488).

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

14629056 is a wasteful number, since it uses less digits than its factorization.

14629056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889 (or 5879 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 14629056 is about 3824.7948964618. The cubic root of 14629056 is about 244.5712674011.

The spelling of 14629056 in words is "fourteen million, six hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 5861 11722 17583 23444 35166 46888 70332 76193 93776 140664 152386 187552 228579 281328 304772 375104 457158 562656 609544 914316 1125312 1219088 1828632 2438176 3657264 4876352 7314528 14629056