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483274880 = 27511193613
BaseRepresentation
bin11100110011100…
…011000010000000
31020200100220111122
4130303203002000
51442204244010
6115542131412
714655524444
oct3463430200
91220326448
10483274880
11228883630
12115a20b68
137917a48a
1448280824
152c662855
hex1cce3080

483274880 has 128 divisors (see below), whose sum is σ = 1327060800. Its totient is φ = 166440960.

The previous prime is 483274859. The next prime is 483274889. The reversal of 483274880 is 88472384.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483274889) 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, 131954 + ... + 135566.

Almost surely, 2483274880 is an apocalyptic number.

483274880 is a gapful number since it is divisible by the number (40) 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 483274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663530400).

483274880 is an abundant number, since it is smaller than the sum of its proper divisors (843785920).

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

483274880 is a wasteful number, since it uses less digits than its factorization.

483274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 44.

The square root of 483274880 is about 21983.5138228628. The cubic root of 483274880 is about 784.7501497042.

The spelling of 483274880 in words is "four hundred eighty-three million, two hundred seventy-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 76 80 88 95 110 128 152 160 176 190 209 220 304 320 352 380 418 440 608 640 704 760 836 880 1045 1216 1408 1520 1672 1760 2090 2432 3040 3344 3520 3613 4180 6080 6688 7040 7226 8360 12160 13376 14452 16720 18065 26752 28904 33440 36130 39743 57808 66880 68647 72260 79486 115616 133760 137294 144520 158972 198715 231232 274588 289040 317944 343235 397430 462464 549176 578080 635888 686470 755117 794860 1098352 1156160 1271776 1372940 1510234 1589720 2196704 2312320 2543552 2745880 3020468 3179440 3775585 4393408 5087104 5491760 6040936 6358880 7551170 8786816 10983520 12081872 12717760 15102340 21967040 24163744 25435520 30204680 43934080 48327488 60409360 96654976 120818720 241637440 483274880