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484969632 = 25375931217
BaseRepresentation
bin11100111010000…
…000110010100000
31020210120000021020
4130322000302200
51443123012012
6120042325440
715006113430
oct3472006240
91223500236
10484969632
11229830954
121164b9880
13796219a4
14485a22c0
152c899a8c
hex1ce80ca0

484969632 has 96 divisors (see below), whose sum is σ = 1458559872. Its totient is φ = 138215424.

The previous prime is 484969631. The next prime is 484969691. The reversal of 484969632 is 236969484.

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

It is not an unprimeable number, because it can be changed into a prime (484969631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397888 + ... + 399104.

It is an arithmetic number, because the mean of its divisors is an integer number (15193332).

Almost surely, 2484969632 is an apocalyptic number.

484969632 is a gapful number since it is divisible by the number (42) 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 484969632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729279936).

484969632 is an abundant number, since it is smaller than the sum of its proper divisors (973590240).

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

484969632 is a wasteful number, since it uses less digits than its factorization.

484969632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1822 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The square root of 484969632 is about 22022.0260648288. The cubic root of 484969632 is about 785.6664020815. Note that the first 3 decimals are identical.

The spelling of 484969632 in words is "four hundred eighty-four million, nine hundred sixty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 593 672 1186 1217 1779 2372 2434 3558 3651 4151 4744 4868 7116 7302 8302 8519 9488 9736 12453 14232 14604 16604 17038 18976 19472 24906 25557 28464 29208 33208 34076 38944 49812 51114 56928 58416 66416 68152 99624 102228 116832 132832 136304 199248 204456 272608 398496 408912 721681 817824 1443362 2165043 2886724 4330086 5051767 5773448 8660172 10103534 11546896 15155301 17320344 20207068 23093792 30310602 34640688 40414136 60621204 69281376 80828272 121242408 161656544 242484816 484969632