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138869952 = 26313234159
BaseRepresentation
bin10000100011011…
…11110011000000
3100200022022202120
420101233303000
5241022314302
621440244240
73304242444
oct1021576300
9320268676
10138869952
1171430061
123a610680
1322a02b90
141462c824
15c2d19bc
hex846fcc0

138869952 has 224 divisors, whose sum is σ = 430133760. Its totient is φ = 39198720.

The previous prime is 138869947. The next prime is 138869981. The reversal of 138869952 is 259968831.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 138869895 and 138869904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2353699 + ... + 2353757.

It is an arithmetic number, because the mean of its divisors is an integer number (1920240).

Almost surely, 2138869952 is an apocalyptic number.

138869952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138869952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215066880).

138869952 is an abundant number, since it is smaller than the sum of its proper divisors (291263808).

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

138869952 is a wasteful number, since it uses less digits than its factorization.

138869952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 141 counting only the distinct ones).

The product of its digits is 933120, while the sum is 51.

The square root of 138869952 is about 11784.3095682352. The cubic root of 138869952 is about 517.8485467292.

The spelling of 138869952 in words is "one hundred thirty-eight million, eight hundred sixty-nine thousand, nine hundred fifty-two".