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13525148 = 2271373509
BaseRepresentation
bin110011100110…
…000010011100
3221110011000102
4303212002130
511430301043
61201520232
7222650630
oct63460234
927404012
1013525148
1176a870a
124643078
132a57260
141b20dc0
1512c26b8
hexce609c

13525148 has 48 divisors (see below), whose sum is σ = 29588160. Its totient is φ = 5266944.

The previous prime is 13525147. The next prime is 13525153. The reversal of 13525148 is 84152531.

13525148 is a modest number, since divided by 5148 gives 1352 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 13525148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13525147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26318 + ... + 26826.

It is an arithmetic number, because the mean of its divisors is an integer number (616420).

Almost surely, 213525148 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 13525148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14794080).

13525148 is an abundant number, since it is smaller than the sum of its proper divisors (16063012).

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

13525148 is a wasteful number, since it uses less digits than its factorization.

13525148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 604 counting only the distinct ones).

The product of its digits is 4800, while the sum is 29.

The square root of 13525148 is about 3677.6552312581. The cubic root of 13525148 is about 238.2579177932.

Adding to 13525148 its reverse (84152531), we get a palindrome (97677679).

The spelling of 13525148 in words is "thirteen million, five hundred twenty-five thousand, one hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 73 91 146 182 292 364 509 511 949 1018 1022 1898 2036 2044 3563 3796 6617 6643 7126 13234 13286 14252 26468 26572 37157 46319 74314 92638 148628 185276 260099 483041 520198 966082 1040396 1932164 3381287 6762574 13525148