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164232978 = 23713312313
BaseRepresentation
bin10011100100111…
…11111100010010
3102110000220021220
421302133330102
5314020423403
624144025510
74032646230
oct1162377422
9373026256
10164232978
1184783738
1247002296
13280433a0
1417b51950
15e641953
hex9c9ff12

164232978 has 96 divisors (see below), whose sum is σ = 419061888. Its totient is φ = 41783040.

The previous prime is 164232917. The next prime is 164232989. The reversal of 164232978 is 879232461.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524550 + ... + 524862.

It is an arithmetic number, because the mean of its divisors is an integer number (4365228).

Almost surely, 2164232978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164232978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209530944).

164232978 is an abundant number, since it is smaller than the sum of its proper divisors (254828910).

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

164232978 is a wasteful number, since it uses less digits than its factorization.

164232978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 369 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 164232978 is about 12815.3415093005. The cubic root of 164232978 is about 547.6294425078.

The spelling of 164232978 in words is "one hundred sixty-four million, two hundred thirty-two thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 62 78 91 93 182 186 217 273 313 403 434 546 626 651 806 939 961 1209 1302 1878 1922 2191 2418 2821 2883 4069 4382 5642 5766 6573 6727 8138 8463 9703 12207 12493 13146 13454 16926 19406 20181 24414 24986 28483 29109 37479 40362 56966 58218 67921 74958 85449 87451 126139 135842 170898 174902 203763 252278 262353 300793 378417 407526 524706 601586 756834 882973 902379 1765946 1804758 2105551 2648919 3910309 4211102 5297838 6316653 7820618 11730927 12633306 23461854 27372163 54744326 82116489 164232978