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482614992 = 243213732441
BaseRepresentation
bin11100110001000…
…001111011010000
31020122010101022100
4130301001323100
51442022134432
6115520040400
714650105536
oct3461017320
91218111270
10482614992
11228472872
12115763100
1378ca9002
144814c156
152c58207c
hex1cc41ed0

482614992 has 60 divisors (see below), whose sum is σ = 1352189124. Its totient is φ = 160688640.

The previous prime is 482614987. The next prime is 482615009. The reversal of 482614992 is 299416284.

It can be written as a sum of positive squares in 2 ways, for example, as 291180096 + 191434896 = 17064^2 + 13836^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196492 + ... + 198932.

Almost surely, 2482614992 is an apocalyptic number.

It is a pronic number, being equal to 21968×21969.

It is an amenable number.

482614992 is an abundant number, since it is smaller than the sum of its proper divisors (869574132).

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

482614992 is a wasteful number, since it uses less digits than its factorization.

482614992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828 (or 3819 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 482614992 is about 21968.4999943100. The cubic root of 482614992 is about 784.3928078093.

The spelling of 482614992 in words is "four hundred eighty-two million, six hundred fourteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1373 2441 2746 4119 4882 5492 7323 8238 9764 10984 12357 14646 16476 19528 21968 21969 24714 29292 32952 39056 43938 49428 58584 65904 87876 98856 117168 175752 197712 351504 3351493 6702986 10054479 13405972 20108958 26811944 30163437 40217916 53623888 60326874 80435832 120653748 160871664 241307496 482614992