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13885542 = 23211193691
BaseRepresentation
bin110100111110…
…000001100110
3222010110101100
4310332001212
512023314132
61213340530
7226011426
oct64760146
928113340
1013885542
117924460
124797746
132b522c8
141bb6486
15134437c
hexd3e066

13885542 has 48 divisors (see below), whose sum is σ = 34557120. Its totient is φ = 3985200.

The previous prime is 13885493. The next prime is 13885559. The reversal of 13885542 is 24558831.

It is a happy number.

13885542 is a `hidden beast` number, since 1 + 38 + 85 + 542 = 666.

13885542 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13885497 and 13885506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1917 + ... + 5607.

It is an arithmetic number, because the mean of its divisors is an integer number (719940).

Almost surely, 213885542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13885542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17278560).

13885542 is an abundant number, since it is smaller than the sum of its proper divisors (20671578).

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

13885542 is a wasteful number, since it uses less digits than its factorization.

13885542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729 (or 3726 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 13885542 is about 3726.3309031808. The cubic root of 13885542 is about 240.3556186372.

Subtracting 13885542 from its reverse (24558831), we obtain a square (10673289 = 32672).

The spelling of 13885542 in words is "thirteen million, eight hundred eighty-five thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3691 3762 7382 11073 22146 33219 40601 66438 70129 81202 121803 140258 210387 243606 365409 420774 631161 730818 771419 1262322 1542838 2314257 4628514 6942771 13885542