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484416608 = 251353127173
BaseRepresentation
bin11100110111111…
…001110001100000
31020202111220122212
4130313321301200
51443002312413
6120022421252
715001321214
oct3467716140
91222456585
10484416608
11229493405
12116291828
137948a060
144849a944
152c7daca8
hex1cdf9c60

484416608 has 96 divisors (see below), whose sum is σ = 1060770816. Its totient is φ = 216373248.

The previous prime is 484416589. The next prime is 484416619. The reversal of 484416608 is 806614484.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2800010 + ... + 2800182.

It is an arithmetic number, because the mean of its divisors is an integer number (11049696).

Almost surely, 2484416608 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 484416608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530385408).

484416608 is an abundant number, since it is smaller than the sum of its proper divisors (576354208).

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

484416608 is a wasteful number, since it uses less digits than its factorization.

484416608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 484416608 is about 22009.4663270148. The cubic root of 484416608 is about 785.3676496052.

The spelling of 484416608 in words is "four hundred eighty-four million, four hundred sixteen thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 53 104 106 127 173 208 212 254 346 416 424 508 689 692 848 1016 1378 1384 1651 1696 2032 2249 2756 2768 3302 4064 4498 5512 5536 6604 6731 8996 9169 11024 13208 13462 17992 18338 21971 22048 26416 26924 35984 36676 43942 52832 53848 71968 73352 87503 87884 107696 119197 146704 175006 175768 215392 238394 285623 293408 350012 351536 476788 571246 700024 703072 953576 1142492 1164463 1400048 1907152 2284984 2328926 2800096 3814304 4569968 4657852 9139936 9315704 15138019 18631408 30276038 37262816 60552076 121104152 242208304 484416608