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164273976 = 233261113331
BaseRepresentation
bin10011100101010…
…01111100111000
3102110002222112100
421302221330320
5314023231401
624144543400
74033206606
oct1162517470
9373088470
10164273976
1184801519
1247021b60
1328058c49
1417b62876
15e64db86
hex9ca9f38

164273976 has 96 divisors (see below), whose sum is σ = 457582320. Its totient is φ = 53222400.

The previous prime is 164273959. The next prime is 164273987. The reversal of 164273976 is 679372461.

164273976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 496131 + ... + 496461.

Almost surely, 2164273976 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 164273976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228791160).

164273976 is an abundant number, since it is smaller than the sum of its proper divisors (293308344).

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

164273976 is a wasteful number, since it uses less digits than its factorization.

164273976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 510 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 164273976 is about 12816.9409766917. The cubic root of 164273976 is about 547.6750075422.

The spelling of 164273976 in words is "one hundred sixty-four million, two hundred seventy-three thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 113 122 183 226 244 331 339 366 452 488 549 662 678 732 904 993 1017 1098 1324 1356 1464 1986 2034 2196 2648 2712 2979 3972 4068 4392 5958 6893 7944 8136 11916 13786 20191 20679 23832 27572 37403 40382 41358 55144 60573 62037 74806 80764 82716 112209 121146 124074 149612 161528 165432 181719 224418 242292 248148 299224 336627 363438 448836 484584 496296 673254 726876 897672 1346508 1453752 2281583 2693016 4563166 6844749 9126332 13689498 18252664 20534247 27378996 41068494 54757992 82136988 164273976