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138589488 = 2433536053
BaseRepresentation
bin10000100001010…
…11010100110000
3100122210002001000
420100223110300
5240434330423
621430242000
73301663662
oct1020532460
9318702030
10138589488
1171259374
123a4b6300
132293531b
1414598532
15c278843
hex842b530

138589488 has 80 divisors (see below), whose sum is σ = 405375840. Its totient is φ = 45317376.

The previous prime is 138589453. The next prime is 138589501. The reversal of 138589488 is 884985831.

138589488 is a `hidden beast` number, since 1 + 3 + 85 + 89 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19870 + ... + 25922.

It is an arithmetic number, because the mean of its divisors is an integer number (5067198).

Almost surely, 2138589488 is an apocalyptic number.

138589488 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 138589488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202687920).

138589488 is an abundant number, since it is smaller than the sum of its proper divisors (266786352).

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

138589488 is a wasteful number, since it uses less digits than its factorization.

138589488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6123 (or 6111 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 138589488 is about 11772.4036628040. The cubic root of 138589488 is about 517.4996933416.

The spelling of 138589488 in words is "one hundred thirty-eight million, five hundred eighty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1272 1431 1908 2544 2862 3816 5724 6053 7632 11448 12106 18159 22896 24212 36318 48424 54477 72636 96848 108954 145272 163431 217908 290544 320809 326862 435816 641618 653724 871632 962427 1283236 1307448 1924854 2566472 2614896 2887281 3849708 5132944 5774562 7699416 8661843 11549124 15398832 17323686 23098248 34647372 46196496 69294744 138589488