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484977680 = 24511250101
BaseRepresentation
bin11100111010000…
…010110000010000
31020210120102022022
4130322002300100
51443123241210
6120042431012
715006146045
oct3472026020
91223512268
10484977680
11229836a00
12116502468
1379625555
14485a51cc
152c89c155
hex1ce82c10

484977680 has 60 divisors (see below), whose sum is σ = 1239423276. Its totient is φ = 176352000.

The previous prime is 484977677. The next prime is 484977697. The reversal of 484977680 is 86779484.

It can be written as a sum of positive squares in 2 ways, for example, as 115261696 + 369715984 = 10736^2 + 19228^2 .

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 11 ways as a sum of consecutive naturals, for example, 15371 + ... + 34730.

Almost surely, 2484977680 is an apocalyptic number.

484977680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

484977680 is an abundant number, since it is smaller than the sum of its proper divisors (754445596).

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

484977680 is a wasteful number, since it uses less digits than its factorization.

484977680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50136 (or 50119 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 53.

The square root of 484977680 is about 22022.2087902190. The cubic root of 484977680 is about 785.6707480637.

The spelling of 484977680 in words is "four hundred eighty-four million, nine hundred seventy-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 50101 100202 200404 250505 400808 501010 551111 801616 1002020 1102222 2004040 2204444 2755555 4008080 4408888 5511110 6062221 8817776 11022220 12124442 22044440 24248884 30311105 44088880 48497768 60622210 96995536 121244420 242488840 484977680