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138043488 = 25311612143
BaseRepresentation
bin10000011101001…
…10000001100000
3100121202100001210
420032212001200
5240314342423
621410430120
73264231102
oct1016460140
9317670053
10138043488
1170a16130
123a292340
13227a394b
1414495572
15c1bbb93
hex83a6060

138043488 has 96 divisors (see below), whose sum is σ = 401974272. Its totient is φ = 41126400.

The previous prime is 138043483. The next prime is 138043561. The reversal of 138043488 is 884340831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1380434882 = 38112009158412288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138043481) 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, 63345 + ... + 65487.

It is an arithmetic number, because the mean of its divisors is an integer number (4187232).

Almost surely, 2138043488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138043488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200987136).

138043488 is an abundant number, since it is smaller than the sum of its proper divisors (263930784).

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

138043488 is a wasteful number, since it uses less digits than its factorization.

138043488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 138043488 is about 11749.1909508698. The cubic root of 138043488 is about 516.8192023205.

The spelling of 138043488 in words is "one hundred thirty-eight million, forty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 66 88 96 122 132 176 183 244 264 352 366 488 528 671 732 976 1056 1342 1464 1952 2013 2143 2684 2928 4026 4286 5368 5856 6429 8052 8572 10736 12858 16104 17144 21472 23573 25716 32208 34288 47146 51432 64416 68576 70719 94292 102864 130723 141438 188584 205728 261446 282876 377168 392169 522892 565752 754336 784338 1045784 1131504 1437953 1568676 2091568 2263008 2875906 3137352 4183136 4313859 5751812 6274704 8627718 11503624 12549408 17255436 23007248 34510872 46014496 69021744 138043488