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484746912 = 253213433011
BaseRepresentation
bin11100111001001…
…010011010100000
31020210010200202100
4130321022122200
51443043400122
6120033450400
715004165206
oct3471123240
91223120670
10484746912
11229699591
12116410a00
13795744c0
1448545076
152c853aac
hex1ce4a6a0

484746912 has 144 divisors (see below), whose sum is σ = 1519566048. Its totient is φ = 145635840.

The previous prime is 484746893. The next prime is 484746917. The reversal of 484746912 is 219647484.

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

Its product of digits (387072) is a multiple of the sum of its prime divisors (3072).

It is not an unprimeable number, because it can be changed into a prime (484746917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159487 + ... + 162497.

It is an arithmetic number, because the mean of its divisors is an integer number (10552542).

Almost surely, 2484746912 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 484746912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759783024).

484746912 is an abundant number, since it is smaller than the sum of its proper divisors (1034819136).

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

484746912 is a wasteful number, since it uses less digits than its factorization.

484746912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3072 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 484746912 is about 22016.9687286874. The cubic root of 484746912 is about 785.5461124777.

The spelling of 484746912 in words is "four hundred eighty-four million, seven hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 43 48 52 72 78 86 96 104 117 129 144 156 172 208 234 258 288 312 344 387 416 468 516 559 624 688 774 936 1032 1118 1248 1376 1548 1677 1872 2064 2236 3011 3096 3354 3744 4128 4472 5031 6022 6192 6708 8944 9033 10062 12044 12384 13416 17888 18066 20124 24088 26832 27099 36132 39143 40248 48176 53664 54198 72264 78286 80496 96352 108396 117429 129473 144528 156572 160992 216792 234858 258946 289056 313144 352287 388419 433584 469716 517892 626288 704574 776838 867168 939432 1035784 1165257 1252576 1409148 1553676 1683149 1878864 2071568 2330514 2818296 3107352 3366298 3757728 4143136 4661028 5049447 5636592 6214704 6732596 9322056 10098894 11273184 12429408 13465192 15148341 18644112 20197788 26930384 30296682 37288224 40395576 53860768 60593364 80791152 121186728 161582304 242373456 484746912