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138043248 = 24372931457
BaseRepresentation
bin10000011101001…
…01111101110000
3100121202022201220
420032211331300
5240314340443
621410425040
73264230310
oct1016457560
9317668656
10138043248
1170a15a32
123a292180
13227a37c5
1414495440
15c1bba83
hex83a5f70

138043248 has 160 divisors (see below), whose sum is σ = 436162560. Its totient is φ = 36771840.

The previous prime is 138043229. The next prime is 138043267. The reversal of 138043248 is 842340831.

138043248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138043229) and next prime (138043267).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301836 + ... + 302292.

It is an arithmetic number, because the mean of its divisors is an integer number (2726016).

Almost surely, 2138043248 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 138043248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218081280).

138043248 is an abundant number, since it is smaller than the sum of its proper divisors (298119312).

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

138043248 is a wasteful number, since it uses less digits than its factorization.

138043248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 138043248 is about 11749.1807373961. The cubic root of 138043248 is about 516.8189028094.

The spelling of 138043248 in words is "one hundred thirty-eight million, forty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 31 42 48 56 58 62 84 87 93 112 116 124 168 174 186 203 217 232 248 336 348 372 406 434 457 464 496 609 651 696 744 812 868 899 914 1218 1302 1371 1392 1488 1624 1736 1798 1828 2436 2604 2697 2742 3199 3248 3472 3596 3656 4872 5208 5394 5484 6293 6398 7192 7312 9597 9744 10416 10788 10968 12586 12796 13253 14167 14384 18879 19194 21576 21936 25172 25592 26506 28334 37758 38388 39759 42501 43152 50344 51184 53012 56668 75516 76776 79518 85002 92771 99169 100688 106024 113336 151032 153552 159036 170004 185542 198338 212048 226672 278313 297507 302064 318072 340008 371084 396676 410843 556626 595014 636144 680016 742168 793352 821686 1113252 1190028 1232529 1484336 1586704 1643372 2226504 2380056 2465058 2875901 3286744 4453008 4760112 4930116 5751802 6573488 8627703 9860232 11503604 17255406 19720464 23007208 34510812 46014416 69021624 138043248