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483904608 = 25311835521
BaseRepresentation
bin11100110101111…
…100110001100000
31020201112220022220
4130311330301200
51442334421413
6120003431040
714664056415
oct3465746140
91221486286
10483904608
11229173770
12116085480
137933acb5
14483a610c
152c739223
hex1cd7cc60

483904608 has 96 divisors (see below), whose sum is σ = 1402676352. Its totient is φ = 144844800.

The previous prime is 483904601. The next prime is 483904639. The reversal of 483904608 is 806409384.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 483904608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483904601) 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, 84888 + ... + 90408.

It is an arithmetic number, because the mean of its divisors is an integer number (14611212).

Almost surely, 2483904608 is an apocalyptic number.

483904608 is a gapful number since it is divisible by the number (48) 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 483904608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701338176).

483904608 is an abundant number, since it is smaller than the sum of its proper divisors (918771744).

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

483904608 is a wasteful number, since it uses less digits than its factorization.

483904608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 483904608 is about 21997.8318931662. The cubic root of 483904608 is about 785.0908561857.

The spelling of 483904608 in words is "four hundred eighty-three million, nine hundred four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 83 88 96 132 166 176 249 264 332 352 498 528 664 913 996 1056 1328 1826 1992 2656 2739 3652 3984 5478 5521 7304 7968 10956 11042 14608 16563 21912 22084 29216 33126 43824 44168 60731 66252 87648 88336 121462 132504 176672 182193 242924 265008 364386 458243 485848 530016 728772 916486 971696 1374729 1457544 1832972 1943392 2749458 2915088 3665944 5040673 5498916 5830176 7331888 10081346 10997832 14663776 15122019 20162692 21995664 30244038 40325384 43991328 60488076 80650768 120976152 161301536 241952304 483904608