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138481448 = 2373109463
BaseRepresentation
bin10000100000100…
…00111100101000
3100122120120211112
420100100330220
5240422401243
621424045452
73301034000
oct1020207450
9318516745
10138481448
1171195186
123a463888
13228c80b1
141456b000
15c256818
hex8410f28

138481448 has 64 divisors (see below), whose sum is σ = 306240000. Its totient is φ = 58677696.

The previous prime is 138481423. The next prime is 138481451. The reversal of 138481448 is 844184831.

It is a super-2 number, since 2×1384814482 = 38354222880353408, which contains 22 as substring.

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, 298865 + ... + 299327.

It is an arithmetic number, because the mean of its divisors is an integer number (4785000).

Almost surely, 2138481448 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 138481448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153120000).

138481448 is an abundant number, since it is smaller than the sum of its proper divisors (167758552).

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

138481448 is a wasteful number, since it uses less digits than its factorization.

138481448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 581 counting only the distinct ones).

The product of its digits is 98304, while the sum is 41.

The square root of 138481448 is about 11767.8140705910. The cubic root of 138481448 is about 517.3651828947.

The spelling of 138481448 in words is "one hundred thirty-eight million, four hundred eighty-one thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 109 196 218 343 392 436 463 686 763 872 926 1372 1526 1852 2744 3052 3241 3704 5341 6104 6482 10682 12964 21364 22687 25928 37387 42728 45374 50467 74774 90748 100934 149548 158809 181496 201868 299096 317618 353269 403736 635236 706538 1270472 1413076 2472883 2826152 4945766 9891532 17310181 19783064 34620362 69240724 138481448