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13729848 = 23311131397
BaseRepresentation
bin110100011000…
…000000111000
3221211112210220
4310120000320
512003323343
61210140040
7224462466
oct64300070
927745726
1013729848
117828490
124721620
132ac9492
141b75836
151313183
hexd18038

13729848 has 64 divisors (see below), whose sum is σ = 37825920. Its totient is φ = 4118400.

The previous prime is 13729817. The next prime is 13729867. The reversal of 13729848 is 84892731.

It is a super-2 number, since 2×137298482 = 377017452206208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34386 + ... + 34782.

It is an arithmetic number, because the mean of its divisors is an integer number (591030).

Almost surely, 213729848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13729848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18912960).

13729848 is an abundant number, since it is smaller than the sum of its proper divisors (24096072).

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

13729848 is a wasteful number, since it uses less digits than its factorization.

13729848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 544 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 13729848 is about 3705.3809520750. The cubic root of 13729848 is about 239.4538972137.

The spelling of 13729848 in words is "thirteen million, seven hundred twenty-nine thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 131 132 262 264 393 397 524 786 794 1048 1191 1441 1572 1588 2382 2882 3144 3176 4323 4367 4764 5764 8646 8734 9528 11528 13101 17292 17468 26202 34584 34936 52007 52404 104014 104808 156021 208028 312042 416056 572077 624084 1144154 1248168 1716231 2288308 3432462 4576616 6864924 13729848