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164539672 = 23112435967
BaseRepresentation
bin10011100111010…
…10110100011000
3102110121110222221
421303222310120
5314110232142
624154353424
74035364333
oct1163526430
9373543887
10164539672
1184973100
124712b874
132811cb6b
1417bd161a
15e6a2767
hex9cead18

164539672 has 96 divisors (see below), whose sum is σ = 358142400. Its totient is φ = 70741440.

The previous prime is 164539667. The next prime is 164539673. The reversal of 164539672 is 276935461.

164539672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164539673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2455783 + ... + 2455849.

It is an arithmetic number, because the mean of its divisors is an integer number (3730650).

Almost surely, 2164539672 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 164539672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179071200).

164539672 is an abundant number, since it is smaller than the sum of its proper divisors (193602728).

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

164539672 is a wasteful number, since it uses less digits than its factorization.

164539672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 182 counting only the distinct ones).

The product of its digits is 272160, while the sum is 43.

The square root of 164539672 is about 12827.3018207260. The cubic root of 164539672 is about 547.9701175387.

The spelling of 164539672 in words is "one hundred sixty-four million, five hundred thirty-nine thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 22 43 44 59 67 86 88 118 121 134 172 236 242 268 344 472 473 484 536 649 737 946 968 1298 1474 1892 2537 2596 2881 2948 3784 3953 5074 5192 5203 5762 5896 7139 7906 8107 10148 10406 11524 14278 15812 16214 20296 20812 23048 27907 28556 31624 31691 32428 41624 43483 55814 57112 63382 64856 86966 111628 126764 169979 173932 223256 253528 306977 339958 347864 348601 478313 613954 679916 697202 956626 1227908 1359832 1394404 1869769 1913252 2455816 2788808 3739538 3826504 7479076 14958152 20567459 41134918 82269836 164539672