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13482448 = 247229593
BaseRepresentation
bin110011011011…
…100111010000
3221100222102221
4303123213100
511422414243
61200550424
7222412300
oct63334720
927328387
1013482448
117679621
124622414
132a409a5
141b0d600
1512b4bed
hexcdb9d0

13482448 has 60 divisors (see below), whose sum is σ = 31487940. Its totient is φ = 5569536.

The previous prime is 13482433. The next prime is 13482451. The reversal of 13482448 is 84428431.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7683984 + 5798464 = 2772^2 + 2408^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22440 + ... + 23032.

It is an arithmetic number, because the mean of its divisors is an integer number (524799).

Almost surely, 213482448 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 13482448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15743970).

13482448 is an abundant number, since it is smaller than the sum of its proper divisors (18005492).

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

13482448 is a wasteful number, since it uses less digits than its factorization.

13482448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 631 counting only the distinct ones).

The product of its digits is 24576, while the sum is 34.

The square root of 13482448 is about 3671.8453126459. The cubic root of 13482448 is about 238.0069202140.

The spelling of 13482448 in words is "thirteen million, four hundred eighty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 392 406 464 593 784 812 1186 1421 1624 2372 2842 3248 4151 4744 5684 8302 9488 11368 16604 17197 22736 29057 33208 34394 58114 66416 68788 116228 120379 137576 232456 240758 275152 464912 481516 842653 963032 1685306 1926064 3370612 6741224 13482448