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138262509 = 327111311523
BaseRepresentation
bin10000011110110…
…11011111101101
3100122011110111200
420033123133231
5240343400014
621415240113
73266132460
oct1017333755
9318143450
10138262509
1171055740
123a379039
132284c548
14145112d7
15c211a09
hex83db7ed

138262509 has 48 divisors (see below), whose sum is σ = 251057664. Its totient is φ = 71229600.

The previous prime is 138262507. The next prime is 138262541. The reversal of 138262509 is 905262831.

138262509 is a `hidden beast` number, since 13 + 82 + 62 + 509 = 666.

It is not a de Polignac number, because 138262509 - 21 = 138262507 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138262507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90022 + ... + 91544.

It is an arithmetic number, because the mean of its divisors is an integer number (5230368).

Almost surely, 2138262509 is an apocalyptic number.

It is an amenable number.

138262509 is a deficient number, since it is larger than the sum of its proper divisors (112795155).

138262509 is a wasteful number, since it uses less digits than its factorization.

138262509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 138262509 is about 11758.5079410612. The cubic root of 138262509 is about 517.0923878407.

The spelling of 138262509 in words is "one hundred thirty-eight million, two hundred sixty-two thousand, five hundred nine".

Divisors: 1 3 7 9 11 21 33 63 77 99 131 231 393 693 917 1179 1441 1523 2751 4323 4569 8253 10087 10661 12969 13707 16753 30261 31983 50259 90783 95949 117271 150777 199513 351813 598539 1055439 1396591 1795617 2194643 4189773 6583929 12569319 15362501 19751787 46087503 138262509