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138948524 = 221113421577
BaseRepresentation
bin10000100100000…
…10111110101100
3100200110022112122
420102002332230
5241032323044
621442052112
73305020511
oct1022027654
9320408478
10138948524
11714840a0
123a64a038
1322a2c880
141464d308
15c2e9dee
hex8482fac

138948524 has 48 divisors (see below), whose sum is σ = 286845216. Its totient is φ = 58060800.

The previous prime is 138948493. The next prime is 138948527. The reversal of 138948524 is 425849831.

It is a happy number.

138948524 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (276480) is a multiple of the sum of its prime divisors (1024).

It is not an unprimeable number, because it can be changed into a prime (138948527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240524 + ... + 241100.

It is an arithmetic number, because the mean of its divisors is an integer number (5975942).

Almost surely, 2138948524 is an apocalyptic number.

It is an amenable number.

138948524 is an abundant number, since it is smaller than the sum of its proper divisors (147896692).

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

138948524 is a wasteful number, since it uses less digits than its factorization.

138948524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1024 counting only the distinct ones).

The product of its digits is 276480, while the sum is 44.

The square root of 138948524 is about 11787.6428517325. The cubic root of 138948524 is about 517.9461937821.

The spelling of 138948524 in words is "one hundred thirty-eight million, nine hundred forty-eight thousand, five hundred twenty-four".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 421 572 577 842 1154 1684 2308 4631 5473 6347 7501 9262 10946 12694 15002 18524 21892 25388 30004 60203 82511 120406 165022 240812 242917 330044 485834 971668 2672087 3157921 5344174 6315842 10688348 12631684 34737131 69474262 138948524