Search a number
-
+
92164744 = 2371924797
BaseRepresentation
bin1010111111001…
…01001010001000
320102102110021001
411133211022020
5142043232434
613051224344
72166246610
oct537451210
9212373231
1092164744
114802a811
1226a480b4
131612c369
14c351a40
158158114
hex57e5288

92164744 has 96 divisors (see below), whose sum is σ = 215066880. Its totient is φ = 36246528.

The previous prime is 92164739. The next prime is 92164753. The reversal of 92164744 is 44746129.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 950104 + ... + 950200.

It is an arithmetic number, because the mean of its divisors is an integer number (2240280).

Almost surely, 292164744 is an apocalyptic number.

92164744 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92164744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107533440).

92164744 is an abundant number, since it is smaller than the sum of its proper divisors (122902136).

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

92164744 is a wasteful number, since it uses less digits than its factorization.

92164744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 172 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 92164744 is about 9600.2470801537. The cubic root of 92164744 is about 451.7050442072.

It can be divided in two parts, 92 and 164744, that added together give a square (164836 = 4062).

The spelling of 92164744 in words is "ninety-two million, one hundred sixty-four thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 38 47 56 76 94 97 133 152 188 194 266 329 361 376 388 532 658 679 722 776 893 1064 1316 1358 1444 1786 1843 2527 2632 2716 2888 3572 3686 4559 5054 5432 6251 7144 7372 9118 10108 12502 12901 14744 16967 18236 20216 25004 25802 31913 33934 35017 36472 50008 51604 63826 67868 70034 86621 103208 118769 127652 135736 140068 173242 237538 245119 255304 280136 346484 475076 490238 606347 692968 950152 980476 1212694 1645799 1960952 2425388 3291598 4850776 6583196 11520593 13166392 23041186 46082372 92164744