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13542522 = 237273631
BaseRepresentation
bin110011101010…
…010001111010
3221111000211220
4303222101322
511431330042
61202132510
7223052400
oct63522172
927430756
1013542522
11770a774
124651136
132a62136
141b27470
1512c78ec
hexcea47a

13542522 has 48 divisors (see below), whose sum is σ = 31989312. Its totient is φ = 3810240.

The previous prime is 13542521. The next prime is 13542539. The reversal of 13542522 is 22524531.

It is a junction number, because it is equal to n+sod(n) for n = 13542492 and 13542501.

It is not an unprimeable number, because it can be changed into a prime (13542521) 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 23 ways as a sum of consecutive naturals, for example, 21147 + ... + 21777.

It is an arithmetic number, because the mean of its divisors is an integer number (666444).

Almost surely, 213542522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13542522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15994656).

13542522 is an abundant number, since it is smaller than the sum of its proper divisors (18446790).

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

13542522 is a wasteful number, since it uses less digits than its factorization.

13542522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 716 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 13542522 is about 3680.0165760496. The cubic root of 13542522 is about 238.3598938021.

Subtracting 13542522 from its reverse (22524531), we obtain a square (8982009 = 29972).

The spelling of 13542522 in words is "thirteen million, five hundred forty-two thousand, five hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 73 98 146 147 219 294 438 511 631 1022 1262 1533 1893 3066 3577 3786 4417 7154 8834 10731 13251 21462 26502 30919 46063 61838 92126 92757 138189 185514 276378 322441 644882 967323 1934646 2257087 4514174 6771261 13542522