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13349248 = 271119499
BaseRepresentation
bin110010111011…
…000110000000
3221010012201121
4302323012000
511404133443
61154042024
7221316043
oct62730600
927105647
1013349248
117598540
124579314
1329c5183
141ab6c5a
15128a4ed
hexcbb180

13349248 has 64 divisors (see below), whose sum is σ = 30600000. Its totient is φ = 5736960.

The previous prime is 13349243. The next prime is 13349249. The reversal of 13349248 is 84294331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13349243) 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, 26503 + ... + 27001.

It is an arithmetic number, because the mean of its divisors is an integer number (478125).

Almost surely, 213349248 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 13349248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15300000).

13349248 is an abundant number, since it is smaller than the sum of its proper divisors (17250752).

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

13349248 is a wasteful number, since it uses less digits than its factorization.

13349248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 531 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 13349248 is about 3653.6622722961. The cubic root of 13349248 is about 237.2205274065.

The spelling of 13349248 in words is "thirteen million, three hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 304 352 418 499 608 704 836 998 1216 1408 1672 1996 2432 3344 3992 5489 6688 7984 9481 10978 13376 15968 18962 21956 26752 31936 37924 43912 63872 75848 87824 104291 151696 175648 208582 303392 351296 417164 606784 702592 834328 1213568 1668656 3337312 6674624 13349248