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13739488 = 25783739
BaseRepresentation
bin110100011010…
…010111100000
3221212001000221
4310122113200
512004130423
61210252424
7224532550
oct64322740
927761027
1013739488
117834754
124727114
132b00999
141b79160
151315e5d
hexd1a5e0

13739488 has 48 divisors (see below), whose sum is σ = 31328640. Its totient is φ = 5809536.

The previous prime is 13739471. The next prime is 13739497. The reversal of 13739488 is 88493731.

It is a happy number.

It is a super-5 number, since 5×137394885 (a number of 37 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18223 + ... + 18961.

It is an arithmetic number, because the mean of its divisors is an integer number (652680).

Almost surely, 213739488 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 13739488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15664320).

13739488 is an abundant number, since it is smaller than the sum of its proper divisors (17589152).

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

13739488 is an equidigital number, since it uses as much as digits as its factorization.

13739488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 831 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 13739488 is about 3706.6815347424. The cubic root of 13739488 is about 239.5099258878.

The spelling of 13739488 in words is "thirteen million, seven hundred thirty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 166 224 332 581 664 739 1162 1328 1478 2324 2656 2956 4648 5173 5912 9296 10346 11824 18592 20692 23648 41384 61337 82768 122674 165536 245348 429359 490696 858718 981392 1717436 1962784 3434872 6869744 13739488