Search a number
-
+
484165088 = 25112379757
BaseRepresentation
bin11100110110111…
…100010111100000
31020202001010122022
4130312330113200
51442421240323
6120013201012
714666223011
oct3466742740
91222033568
10484165088
11229331440
12116190168
13793cc724
1448433008
152c78b4c8
hex1cdbc5e0

484165088 has 96 divisors (see below), whose sum is σ = 1100252160. Its totient is φ = 207567360.

The previous prime is 484165081. The next prime is 484165103. The reversal of 484165088 is 880561484.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484165081) 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, 639206 + ... + 639962.

It is an arithmetic number, because the mean of its divisors is an integer number (11460960).

Almost surely, 2484165088 is an apocalyptic number.

484165088 is the 11762-nd centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484165088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550126080).

484165088 is an abundant number, since it is smaller than the sum of its proper divisors (616087072).

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

484165088 is a wasteful number, since it uses less digits than its factorization.

484165088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 44.

The square root of 484165088 is about 22003.7516801113. The cubic root of 484165088 is about 785.2316992227.

The spelling of 484165088 in words is "four hundred eighty-four million, one hundred sixty-five thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 79 88 92 158 176 184 253 316 352 368 506 632 736 757 869 1012 1264 1514 1738 1817 2024 2528 3028 3476 3634 4048 6056 6952 7268 8096 8327 12112 13904 14536 16654 17411 19987 24224 27808 29072 33308 34822 39974 58144 59803 66616 69644 79948 119606 133232 139288 159896 191521 239212 266464 278576 319792 383042 478424 557152 639584 657833 766084 956848 1315666 1375469 1532168 1913696 2631332 2750938 3064336 5262664 5501876 6128672 10525328 11003752 15130159 21050656 22007504 30260318 44015008 60520636 121041272 242082544 484165088