Search a number
-
+
276139392 = 27329137181
BaseRepresentation
bin10000011101011…
…000110110000000
3201020121100000220
4100131120312000
51031142430032
643222343040
76562101054
oct2035306600
9636540026
10276139392
11131967681
127858aa80
13452953b9
1428961c64
151939912c
hex10758d80

276139392 has 128 divisors (see below), whose sum is σ = 768549600. Its totient is φ = 87736320.

The previous prime is 276139379. The next prime is 276139393. The reversal of 276139392 is 293931672.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276139393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1525542 + ... + 1525722.

Almost surely, 2276139392 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 276139392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384274800).

276139392 is an abundant number, since it is smaller than the sum of its proper divisors (492410208).

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

276139392 is a wasteful number, since it uses less digits than its factorization.

276139392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its digits is 122472, while the sum is 42.

The square root of 276139392 is about 16617.4424024878. The cubic root of 276139392 is about 651.1925971143.

The spelling of 276139392 in words is "two hundred seventy-six million, one hundred thirty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 137 174 181 192 232 274 348 362 384 411 464 543 548 696 724 822 928 1086 1096 1392 1448 1644 1856 2172 2192 2784 2896 3288 3712 3973 4344 4384 5249 5568 5792 6576 7946 8688 8768 10498 11136 11584 11919 13152 15747 15892 17376 17536 20996 23168 23838 24797 26304 31494 31784 34752 41992 47676 49594 52608 62988 63568 69504 74391 83984 95352 99188 125976 127136 148782 167968 190704 198376 251952 254272 297564 335936 381408 396752 503904 508544 595128 671872 719113 762816 793504 1007808 1190256 1438226 1525632 1587008 2015616 2157339 2380512 2876452 3174016 4314678 4761024 5752904 8629356 9522048 11505808 17258712 23011616 34517424 46023232 69034848 92046464 138069696 276139392