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2456483484 = 2237213973313
BaseRepresentation
bin1001001001101010…
…1111011010011100
320100012022021211210
42102122233122130
520012324432414
61043430544420
7114605523300
oct22232573234
96305267753
102456483484
111050691444
12586808110
13301c04130
14194363d00
15e59d1e59
hex926af69c

2456483484 has 144 divisors (see below), whose sum is σ = 7256705568. Its totient is φ = 640991232.

The previous prime is 2456483473. The next prime is 2456483501. The reversal of 2456483484 is 4843846542.

It is a super-2 number, since 2×24564834842 = 12068622214329556512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 739812 + ... + 743124.

Almost surely, 22456483484 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 2456483484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628352784).

2456483484 is an abundant number, since it is smaller than the sum of its proper divisors (4800222084).

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

2456483484 is a wasteful number, since it uses less digits than its factorization.

2456483484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444 (or 3435 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 48.

The square root of 2456483484 is about 49562.9244899855. The cubic root of 2456483484 is about 1349.2878702313.

The spelling of 2456483484 in words is "two billion, four hundred fifty-six million, four hundred eighty-three thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 97 98 147 156 182 194 196 273 291 294 364 388 546 582 588 637 679 1092 1164 1261 1274 1358 1911 2037 2522 2548 2716 3313 3783 3822 4074 4753 5044 6626 7566 7644 8148 8827 9506 9939 13252 14259 15132 17654 19012 19878 23191 26481 28518 35308 39756 43069 46382 52962 57036 61789 69573 86138 92764 105924 123578 129207 139146 162337 172276 185367 247156 258414 278292 301483 321361 324674 370734 487011 516828 602966 642722 649348 741468 904449 964083 974022 1205932 1285444 1808898 1928166 1948044 2110381 2249527 3617796 3856332 4177693 4220762 4499054 6331143 6748581 8355386 8441524 8998108 12533079 12662286 13497162 15746689 16710772 25066158 25324572 26994324 29243851 31493378 47240067 50132316 58487702 62986756 87731553 94480134 116975404 175463106 188960268 204706957 350926212 409413914 614120871 818827828 1228241742 2456483484