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13542825 = 352533407
BaseRepresentation
bin110011101010…
…010110101001
3221111001021010
4303222112221
511431332300
61202134133
7223053312
oct63522651
927431233
1013542825
11770aa1a
124651349
132a6230a
141b27609
1512c7a50
hexcea5a9

13542825 has 24 divisors (see below), whose sum is σ = 22819968. Its totient is φ = 7084480.

The previous prime is 13542821. The next prime is 13542827. The reversal of 13542825 is 52824531.

It is not a de Polignac number, because 13542825 - 22 = 13542821 is a prime.

It is a hoax number, since the sum of its digits (30) 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 = 13542792 and 13542801.

It is not an unprimeable number, because it can be changed into a prime (13542821) 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, 2272 + ... + 5678.

It is an arithmetic number, because the mean of its divisors is an integer number (950832).

Almost surely, 213542825 is an apocalyptic number.

13542825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13542825 is a deficient number, since it is larger than the sum of its proper divisors (9277143).

13542825 is a wasteful number, since it uses less digits than its factorization.

13542825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473 (or 3468 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 13542825 is about 3680.0577441122. The cubic root of 13542825 is about 238.3616714746.

The spelling of 13542825 in words is "thirteen million, five hundred forty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 15 25 53 75 159 265 795 1325 3407 3975 10221 17035 51105 85175 180571 255525 541713 902855 2708565 4514275 13542825