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481808080 = 245131937659
BaseRepresentation
bin11100101101111…
…100111011010000
31020120121101102201
4130231330323100
51441320324310
6115450452544
714640205165
oct3455747320
91216541381
10481808080
11227a715a6
12115434154
1378a85950
1447dbc06c
152c472e3a
hex1cb7ced0

481808080 has 160 divisors (see below), whose sum is σ = 1306166400. Its totient is φ = 163731456.

The previous prime is 481808069. The next prime is 481808083. The reversal of 481808080 is 80808184.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481808083) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 730791 + ... + 731449.

It is an arithmetic number, because the mean of its divisors is an integer number (8163540).

Almost surely, 2481808080 is an apocalyptic number.

481808080 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 481808080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653083200).

481808080 is an abundant number, since it is smaller than the sum of its proper divisors (824358320).

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

481808080 is a wasteful number, since it uses less digits than its factorization.

481808080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 37.

The square root of 481808080 is about 21950.1271066935. The cubic root of 481808080 is about 783.9554066681.

The spelling of 481808080 in words is "four hundred eighty-one million, eight hundred eight thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 37 38 40 52 65 74 76 80 95 104 130 148 152 185 190 208 247 260 296 304 370 380 481 494 520 592 659 703 740 760 962 988 1040 1235 1318 1406 1480 1520 1924 1976 2405 2470 2636 2812 2960 3295 3515 3848 3952 4810 4940 5272 5624 6590 7030 7696 8567 9139 9620 9880 10544 11248 12521 13180 14060 17134 18278 19240 19760 24383 25042 26360 28120 34268 36556 38480 42835 45695 48766 50084 52720 56240 62605 68536 73112 85670 91390 97532 100168 121915 125210 137072 146224 162773 171340 182780 195064 200336 243830 250420 316979 325546 342680 365560 390128 463277 487660 500840 633958 651092 685360 731120 813865 926554 975320 1001680 1267916 1302184 1584895 1627730 1853108 1950640 2316385 2535832 2604368 3169790 3255460 3706216 4632770 5071664 6022601 6339580 6510920 7412432 9265540 12045202 12679160 13021840 18531080 24090404 25358320 30113005 37062160 48180808 60226010 96361616 120452020 240904040 481808080