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138494052 = 223213012957
BaseRepresentation
bin10000100000101…
…00000001100100
3100122121020010100
420100110001210
5240423302202
621424224100
73301115514
oct1020240144
9318536110
10138494052
11711a36a4
123a46b030
1322900a58
1414571844
15c25a41c
hex8414064

138494052 has 36 divisors (see below), whose sum is σ = 350469756. Its totient is φ = 46113600.

The previous prime is 138494051. The next prime is 138494089. The reversal of 138494052 is 250494831.

It can be written as a sum of positive squares in 2 ways, for example, as 7986276 + 130507776 = 2826^2 + 11424^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 138493998 and 138494016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138494051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45358 + ... + 48314.

It is an arithmetic number, because the mean of its divisors is an integer number (9735271).

Almost surely, 2138494052 is an apocalyptic number.

138494052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138494052 is an abundant number, since it is smaller than the sum of its proper divisors (211975704).

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

138494052 is a wasteful number, since it uses less digits than its factorization.

138494052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 138494052 is about 11768.3495869217. The cubic root of 138494052 is about 517.3808785541.

The spelling of 138494052 in words is "one hundred thirty-eight million, four hundred ninety-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1301 2602 2957 3903 5204 5914 7806 8871 11709 11828 15612 17742 23418 26613 35484 46836 53226 106452 3847057 7694114 11541171 15388228 23082342 34623513 46164684 69247026 138494052