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138952044 = 22337311231
BaseRepresentation
bin10000100100000…
…11110101101100
3100200110111101000
420102003311230
5241032431134
621442120300
73305034000
oct1022036554
9320414330
10138952044
1171486800
123a650090
1322a3135a
1414650700
15c2eae99
hex8483d6c

138952044 has 288 divisors, whose sum is σ = 476672000. Its totient is φ = 34927200.

The previous prime is 138952003. The next prime is 138952091. The reversal of 138952044 is 440259831.

138952044 is a `hidden beast` number, since 13 + 89 + 520 + 44 = 666.

It is a super-3 number, since 3×1389520443 (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4482309 + ... + 4482339.

Almost surely, 2138952044 is an apocalyptic number.

138952044 is a gapful number since it is divisible by the number (14) 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 138952044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238336000).

138952044 is an abundant number, since it is smaller than the sum of its proper divisors (337719956).

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

138952044 is a wasteful number, since it uses less digits than its factorization.

138952044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 54 counting only the distinct ones).

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

The square root of 138952044 is about 11787.7921596879. The cubic root of 138952044 is about 517.9505674766.

The spelling of 138952044 in words is "one hundred thirty-eight million, nine hundred fifty-two thousand, forty-four".