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484389792 = 253237131347
BaseRepresentation
bin11100110111110…
…011001110100000
31020202110112212200
4130313303032200
51443000433132
6120022053200
715001150065
oct3467631640
91222415780
10484389792
11229475247
1211627a200
137947aaa3
1448490c6c
152c7d2d7c
hex1cdf33a0

484389792 has 144 divisors (see below), whose sum is σ = 1429620192. Its totient is φ = 155450880.

The previous prime is 484389791. The next prime is 484389799. The reversal of 484389792 is 297983484.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (484389791) 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, 1395763 + ... + 1396109.

It is an arithmetic number, because the mean of its divisors is an integer number (9927918).

Almost surely, 2484389792 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 484389792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714810096).

484389792 is an abundant number, since it is smaller than the sum of its proper divisors (945230400).

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

484389792 is a wasteful number, since it uses less digits than its factorization.

484389792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 520 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 484389792 is about 22008.8571261663. The cubic root of 484389792 is about 785.3531573911.

The spelling of 484389792 in words is "four hundred eighty-four million, three hundred eighty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 131 144 148 222 262 288 296 333 347 393 444 524 592 666 694 786 888 1041 1048 1179 1184 1332 1388 1572 1776 2082 2096 2358 2664 2776 3123 3144 3552 4164 4192 4716 4847 5328 5552 6246 6288 8328 9432 9694 10656 11104 12492 12576 12839 14541 16656 18864 19388 24984 25678 29082 33312 37728 38517 38776 43623 45457 49968 51356 58164 77034 77552 87246 90914 99936 102712 115551 116328 136371 154068 155104 174492 181828 205424 231102 232656 272742 308136 348984 363656 409113 410848 462204 465312 545484 616272 697968 727312 818226 924408 1090968 1232544 1395936 1454624 1636452 1681909 1848816 2181936 3272904 3363818 3697632 4363872 5045727 6545808 6727636 10091454 13091616 13455272 15137181 20182908 26910544 30274362 40365816 53821088 60548724 80731632 121097448 161463264 242194896 484389792