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138452967 = 3218478329
BaseRepresentation
bin10000100000010…
…01111111100111
3100122112010202200
420100021333213
5240420443332
621423305543
73300554652
oct1020117747
9318463680
10138452967
1171175844
123a44b2b3
13228b8143
1414560899
15c24d17c
hex8409fe7

138452967 has 12 divisors (see below), whose sum is σ = 200119920. Its totient is φ = 92240928.

The previous prime is 138452959. The next prime is 138453059. The reversal of 138452967 is 769254831.

138452967 is a `hidden beast` number, since 138 + 452 + 9 + 67 = 666.

138452967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138452967 - 23 = 138452959 is a prime.

It is a super-2 number, since 2×1384529672 = 38338448142206178, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138452917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12459 + ... + 20787.

It is an arithmetic number, because the mean of its divisors is an integer number (16676660).

Almost surely, 2138452967 is an apocalyptic number.

138452967 is a deficient number, since it is larger than the sum of its proper divisors (61666953).

138452967 is a wasteful number, since it uses less digits than its factorization.

138452967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10182 (or 10179 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 138452967 is about 11766.6038855738. The cubic root of 138452967 is about 517.3297122275.

The spelling of 138452967 in words is "one hundred thirty-eight million, four hundred fifty-two thousand, nine hundred sixty-seven".

Divisors: 1 3 9 1847 5541 8329 16623 24987 74961 15383663 46150989 138452967