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481381776 = 24328937561
BaseRepresentation
bin11100101100010…
…100110110010000
31020112210201122200
4130230110312100
51441213204101
6115433403200
714633451261
oct3454246620
91215721580
10481381776
11227800287
12115269500
13789668b5
1447d0a968
152c3db986
hex1cb14d90

481381776 has 60 divisors (see below), whose sum is σ = 1362373740. Its totient is φ = 158653440.

The previous prime is 481381757. The next prime is 481381781. The reversal of 481381776 is 677183184.

It can be written as a sum of positive squares in 2 ways, for example, as 65221776 + 416160000 = 8076^2 + 20400^2 .

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, 5965 + ... + 31596.

It is an arithmetic number, because the mean of its divisors is an integer number (22706229).

Almost surely, 2481381776 is an apocalyptic number.

It is an amenable number.

481381776 is an abundant number, since it is smaller than the sum of its proper divisors (880991964).

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

481381776 is a wasteful number, since it uses less digits than its factorization.

481381776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37664 (or 37655 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 481381776 is about 21940.4142166915. The cubic root of 481381776 is about 783.7241237460.

The spelling of 481381776 in words is "four hundred eighty-one million, three hundred eighty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1602 2136 3204 4272 6408 12816 37561 75122 112683 150244 225366 300488 338049 450732 600976 676098 901464 1352196 1802928 2704392 3342929 5408784 6685858 10028787 13371716 20057574 26743432 30086361 40115148 53486864 60172722 80230296 120345444 160460592 240690888 481381776