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13926496 = 252943349
BaseRepresentation
bin110101001000…
…000001100000
3222012112120011
4311020001200
512031121441
61214254304
7226242013
oct65100140
928175504
1013926496
117952201
1247b7394
132b67b3c
141bc737a
151351581
hexd48060

13926496 has 48 divisors (see below), whose sum is σ = 29106000. Its totient is φ = 6547968.

The previous prime is 13926491. The next prime is 13926499. The reversal of 13926496 is 69462931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13926491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39730 + ... + 40078.

It is an arithmetic number, because the mean of its divisors is an integer number (606375).

Almost surely, 213926496 is an apocalyptic number.

13926496 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 13926496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14553000).

13926496 is an abundant number, since it is smaller than the sum of its proper divisors (15179504).

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

13926496 is a wasteful number, since it uses less digits than its factorization.

13926496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 423 counting only the distinct ones).

The product of its digits is 69984, while the sum is 40.

The square root of 13926496 is about 3731.8220750727. The cubic root of 13926496 is about 240.5916882204.

The spelling of 13926496 in words is "thirteen million, nine hundred twenty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 43 58 86 116 172 232 344 349 464 688 698 928 1247 1376 1396 2494 2792 4988 5584 9976 10121 11168 15007 19952 20242 30014 39904 40484 60028 80968 120056 161936 240112 323872 435203 480224 870406 1740812 3481624 6963248 13926496