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484689984 = 26310324509
BaseRepresentation
bin11100111000111…
…100100001000000
31020210000210122220
4130320330201000
51443040034414
6120032331040
715003540222
oct3470744100
91223023586
10484689984
1122965a839
121163a3a80
137955460c
144852c412
152c841ca9
hex1ce3c840

484689984 has 56 divisors (see below), whose sum is σ = 1294912320. Its totient is φ = 159988224.

The previous prime is 484689983. The next prime is 484690007. The reversal of 484689984 is 489986484.

It is not an unprimeable number, because it can be changed into a prime (484689983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7522 + ... + 32030.

Almost surely, 2484689984 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 484689984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647456160).

484689984 is an abundant number, since it is smaller than the sum of its proper divisors (810222336).

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

484689984 is a wasteful number, since it uses less digits than its factorization.

484689984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24627 (or 24617 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 60.

The square root of 484689984 is about 22015.6758697070. The cubic root of 484689984 is about 785.5153601279.

It can be divided in two parts, 4846 and 89984, that added together give a triangular number (94830 = T435).

The spelling of 484689984 in words is "four hundred eighty-four million, six hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 192 206 309 412 618 824 1236 1648 2472 3296 4944 6592 9888 19776 24509 49018 73527 98036 147054 196072 294108 392144 588216 784288 1176432 1568576 2352864 2524427 4705728 5048854 7573281 10097708 15146562 20195416 30293124 40390832 60586248 80781664 121172496 161563328 242344992 484689984