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482679840 = 25352343721
BaseRepresentation
bin11100110001010…
…001110000100000
31020122020200021010
4130301101300200
51442031223330
6115521300520
714650465566
oct3461216040
91218220233
10482679840
11228507565
12115794740
1378ccc696
1448167a36
152c5963b0
hex1cc51c20

482679840 has 96 divisors (see below), whose sum is σ = 1586583936. Its totient is φ = 123115520.

The previous prime is 482679833. The next prime is 482679853. The reversal of 482679840 is 48976284.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 482679840.

It is an unprimeable number.

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, 10821 + ... + 32900.

It is an arithmetic number, because the mean of its divisors is an integer number (16526916).

Almost surely, 2482679840 is an apocalyptic number.

482679840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

482679840 is an abundant number, since it is smaller than the sum of its proper divisors (1103904096).

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

482679840 is a wasteful number, since it uses less digits than its factorization.

482679840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43762 (or 43754 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 482679840 is about 21969.9758761816. The cubic root of 482679840 is about 784.4279386607.

It can be divided in two parts, 4826 and 79840, that added together give a triangular number (84666 = T411).

The spelling of 482679840 in words is "four hundred eighty-two million, six hundred seventy-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 11040 43721 87442 131163 174884 218605 262326 349768 437210 524652 655815 699536 874420 1005583 1049304 1311630 1399072 1748840 2011166 2098608 2623260 3016749 3497680 4022332 4197216 5027915 5246520 6033498 6995360 8044664 10055830 10493040 12066996 15083745 16089328 20111660 20986080 24133992 30167490 32178656 40223320 48267984 60334980 80446640 96535968 120669960 160893280 241339920 482679840