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13416048 = 2432151617
BaseRepresentation
bin110011001011…
…011001110000
3221020121100200
4303023121300
511413303143
61155315200
7222014562
oct63133160
927217320
1013416048
117633748
1245abb00
132a196b9
141ad3332
1512a01d3
hexccb670

13416048 has 60 divisors (see below), whose sum is σ = 37856208. Its totient is φ = 4435200.

The previous prime is 13416023. The next prime is 13416079. The reversal of 13416048 is 84061431.

13416048 is a `hidden beast` number, since 13 + 41 + 604 + 8 = 666.

13416048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21436 + ... + 22052.

Almost surely, 213416048 is an apocalyptic number.

13416048 is a gapful number since it is divisible by the number (18) 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 13416048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18928104).

13416048 is an abundant number, since it is smaller than the sum of its proper divisors (24440160).

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

13416048 is a wasteful number, since it uses less digits than its factorization.

13416048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13416048 is about 3662.7923774083. The cubic root of 13416048 is about 237.6155552174.

Adding to 13416048 its reverse (84061431), we get a palindrome (97477479).

The spelling of 13416048 in words is "thirteen million, four hundred sixteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 302 453 604 617 906 1208 1234 1359 1812 1851 2416 2468 2718 3624 3702 4936 5436 5553 7248 7404 9872 10872 11106 14808 21744 22212 29616 44424 88848 93167 186334 279501 372668 559002 745336 838503 1118004 1490672 1677006 2236008 3354012 4472016 6708024 13416048