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13482392 = 2371143509
BaseRepresentation
bin110011011011…
…100110011000
3221100222100212
4303123212120
511422414032
61200550252
7222412160
oct63334630
927328325
1013482392
117679580
124622388
132a40961
141b0d5a0
1512b4bb2
hexcdb998

13482392 has 64 divisors (see below), whose sum is σ = 32313600. Its totient is φ = 5120640.

The previous prime is 13482383. The next prime is 13482397. The reversal of 13482392 is 29328431.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (10368) is a multiple of the sum of its prime factors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13482397) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26234 + ... + 26742.

It is an arithmetic number, because the mean of its divisors is an integer number (504900).

Almost surely, 213482392 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 13482392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16156800).

13482392 is an abundant number, since it is smaller than the sum of its proper divisors (18831208).

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

13482392 is a wasteful number, since it uses less digits than its factorization.

13482392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 572 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 13482392 is about 3671.8376870445. The cubic root of 13482392 is about 238.0065906891.

The spelling of 13482392 in words is "thirteen million, four hundred eighty-two thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 22 28 43 44 56 77 86 88 154 172 301 308 344 473 509 602 616 946 1018 1204 1892 2036 2408 3311 3563 3784 4072 5599 6622 7126 11198 13244 14252 21887 22396 26488 28504 39193 43774 44792 78386 87548 153209 156772 175096 240757 306418 313544 481514 612836 963028 1225672 1685299 1926056 3370598 6741196 13482392