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138452532 = 22311537711
BaseRepresentation
bin10000100000010…
…01111000110100
3100122112010011120
420100021320310
5240420440112
621423303540
73300553461
oct1020117064
9318463146
10138452532
1171175489
123a44abb0
13228b7b9a
1414560668
15c24ce8c
hex8409e34

138452532 has 12 divisors (see below), whose sum is σ = 323055936. Its totient is φ = 46150840.

The previous prime is 138452507. The next prime is 138452533. The reversal of 138452532 is 235254831.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×1384525323 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 138452493 and 138452502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138452533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5768844 + ... + 5768867.

It is an arithmetic number, because the mean of its divisors is an integer number (26921328).

Almost surely, 2138452532 is an apocalyptic number.

138452532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138452532 is an abundant number, since it is smaller than the sum of its proper divisors (184603404).

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

138452532 is a wasteful number, since it uses less digits than its factorization.

138452532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11537718 (or 11537716 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 138452532 is about 11766.5854010414. The cubic root of 138452532 is about 517.3291704342.

The spelling of 138452532 in words is "one hundred thirty-eight million, four hundred fifty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 11537711 23075422 34613133 46150844 69226266 138452532