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138571488 = 253211173183
BaseRepresentation
bin10000100001001…
…10111011100000
3100122202011100100
420100212323200
5240433241423
621430022400
73301560336
oct1020467340
9318664310
10138571488
11712468a0
123a4a7a00
132292a083
1414591b56
15c273343
hex8426ee0

138571488 has 288 divisors, whose sum is σ = 475517952. Its totient is φ = 37785600.

The previous prime is 138571453. The next prime is 138571523. The reversal of 138571488 is 884175831.

It is a happy number.

138571488 is a `hidden beast` number, since 1 + 38 + 571 + 48 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (138571453) and next prime (138571523).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1669495 + ... + 1669577.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 2138571488 is an apocalyptic number.

138571488 is a gapful number since it is divisible by the number (18) 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 138571488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976).

138571488 is an abundant number, since it is smaller than the sum of its proper divisors (336946464).

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

138571488 is a wasteful number, since it uses less digits than its factorization.

138571488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 138571488 is about 11771.6391381999. The cubic root of 138571488 is about 517.4772880882.

The spelling of 138571488 in words is "one hundred thirty-eight million, five hundred seventy-one thousand, four hundred eighty-eight".