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483243488 = 257213151157
BaseRepresentation
bin11100110011011…
…011010111100000
31020200022022102222
4130303123113200
51442202242423
6115541330212
714655334100
oct3463332740
91220268388
10483243488
11228861a92
12115a06968
13791690c0
1448273200
152c6583c8
hex1ccdb5e0

483243488 has 144 divisors (see below), whose sum is σ = 1207380384. Its totient is φ = 188697600.

The previous prime is 483243457. The next prime is 483243493. The reversal of 483243488 is 884342384.

It is a happy number.

It is a super-2 number, since 2×4832434882 = 467048537388812288, which contains 22 as substring.

483243488 is a modest number, since divided by 43488 gives 4832 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3077906 + ... + 3078062.

It is an arithmetic number, because the mean of its divisors is an integer number (8384586).

Almost surely, 2483243488 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 483243488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603690192).

483243488 is an abundant number, since it is smaller than the sum of its proper divisors (724136896).

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

483243488 is a wasteful number, since it uses less digits than its factorization.

483243488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 330 counting only the distinct ones).

The product of its digits is 589824, while the sum is 44.

The square root of 483243488 is about 21982.7998216788. The cubic root of 483243488 is about 784.7331577112.

It can be divided in two parts, 4832 and 43488, that multiplied together give a square (210134016 = 144962).

The spelling of 483243488 in words is "four hundred eighty-three million, two hundred forty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 151 157 182 196 208 224 302 314 364 392 416 604 628 637 728 784 1057 1099 1208 1256 1274 1456 1568 1963 2041 2114 2198 2416 2512 2548 2912 3926 4082 4228 4396 4832 5024 5096 7399 7693 7852 8164 8456 8792 10192 13741 14287 14798 15386 15704 16328 16912 17584 20384 23707 27482 28574 29596 30772 31408 32656 33824 35168 47414 54964 57148 59192 61544 62816 65312 94828 96187 100009 109928 114296 118384 123088 165949 189656 192374 200018 219856 228592 236768 246176 308191 331898 379312 384748 400036 439712 457184 616382 663796 758624 769496 800072 1161643 1232764 1327592 1538992 1600144 2157337 2323286 2465528 2655184 3077984 3200288 4314674 4646572 4931056 5310368 8629348 9293144 9862112 15101359 17258696 18586288 30202718 34517392 37172576 60405436 69034784 120810872 241621744 483243488