Search a number
-
+
164254544 = 24171937859
BaseRepresentation
bin10011100101001…
…01001101010000
3102110001222212122
421302211031100
5314022121134
624144313412
74033066136
oct1162451520
9373058778
10164254544
1184798963
1247012868
132805014c
1417b59756
15e64802e
hex9ca5350

164254544 has 80 divisors (see below), whose sum is σ = 364708800. Its totient is φ = 71165952.

The previous prime is 164254513. The next prime is 164254547. The reversal of 164254544 is 445452461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164254547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190787 + ... + 191645.

It is an arithmetic number, because the mean of its divisors is an integer number (4558860).

Almost surely, 2164254544 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 164254544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182354400).

164254544 is an abundant number, since it is smaller than the sum of its proper divisors (200454256).

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

164254544 is a wasteful number, since it uses less digits than its factorization.

164254544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 934 counting only the distinct ones).

The product of its digits is 76800, while the sum is 35.

The square root of 164254544 is about 12816.1828950745. The cubic root of 164254544 is about 547.6534118303.

The spelling of 164254544 in words is "one hundred sixty-four million, two hundred fifty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 17 19 34 37 38 68 74 76 136 148 152 272 296 304 323 592 629 646 703 859 1258 1292 1406 1718 2516 2584 2812 3436 5032 5168 5624 6872 10064 11248 11951 13744 14603 16321 23902 29206 31783 32642 47804 58412 63566 65284 95608 116824 127132 130568 191216 233648 254264 261136 277457 508528 540311 554914 603877 1080622 1109828 1207754 2161244 2219656 2415508 4322488 4439312 4831016 8644976 9662032 10265909 20531818 41063636 82127272 164254544