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481423280 = 245133712511
BaseRepresentation
bin11100101100011…
…110111110110000
31020112212211120212
4130230132332300
51441221021110
6115434323252
714634013262
oct3454367660
91215784525
10481423280
11227829488
12115289528
137897c760
1447d1bb32
152c3e8e05
hex1cb1efb0

481423280 has 80 divisors (see below), whose sum is σ = 1238087424. Its totient is φ = 172938240.

The previous prime is 481423259. The next prime is 481423307. The reversal of 481423280 is 82324184.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32225 + ... + 44735.

Almost surely, 2481423280 is an apocalyptic number.

481423280 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 481423280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619043712).

481423280 is an abundant number, since it is smaller than the sum of its proper divisors (756664144).

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

481423280 is a wasteful number, since it uses less digits than its factorization.

481423280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12574 (or 12568 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 481423280 is about 21941.3600307729. The cubic root of 481423280 is about 783.7466469302.

The spelling of 481423280 in words is "four hundred eighty-one million, four hundred twenty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 74 80 104 130 148 185 208 260 296 370 481 520 592 740 962 1040 1480 1924 2405 2960 3848 4810 7696 9620 12511 19240 25022 38480 50044 62555 100088 125110 162643 200176 250220 325286 462907 500440 650572 813215 925814 1000880 1301144 1626430 1851628 2314535 2602288 3252860 3703256 4629070 6017791 6505720 7406512 9258140 12035582 13011440 18516280 24071164 30088955 37032560 48142328 60177910 96284656 120355820 240711640 481423280