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483279552 = 26327217123
BaseRepresentation
bin11100110011100…
…100001011000000
31020200101010220200
4130303210023000
51442204421202
6115542205200
714655544200
oct3463441300
91220333820
10483279552
11228887098
12115a23800
137917c642
1448282400
152c663e1c
hex1cce42c0

483279552 has 126 divisors (see below), whose sum is σ = 1611488268. Its totient is φ = 138071808.

The previous prime is 483279551. The next prime is 483279571. The reversal of 483279552 is 255972384.

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-3 number, since 3×4832795523 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 483279498 and 483279507.

It is not an unprimeable number, because it can be changed into a prime (483279551) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19663 + ... + 36785.

Almost surely, 2483279552 is an apocalyptic number.

483279552 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 483279552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805744134).

483279552 is an abundant number, since it is smaller than the sum of its proper divisors (1128208716).

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

483279552 is a wasteful number, since it uses less digits than its factorization.

483279552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17155 (or 17135 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 483279552 is about 21983.6200840535. The cubic root of 483279552 is about 784.7526785209.

The spelling of 483279552 in words is "four hundred eighty-three million, two hundred seventy-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 17123 28224 34246 51369 68492 102738 119861 136984 154107 205476 239722 273968 308214 359583 410952 479444 547936 616428 719166 821904 839027 958888 1078749 1095872 1232856 1438332 1643808 1678054 1917776 2157498 2465712 2517081 2876664 3287616 3356108 3835552 4314996 4931424 5034162 5753328 6712216 7551243 7671104 8629992 9862848 10068324 11506656 13424432 15102486 17259984 20136648 23013312 26848864 30204972 34519968 40273296 53697728 60409944 69039936 80546592 120819888 161093184 241639776 483279552