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483028480 = 29511171009
BaseRepresentation
bin11100110010100…
…110111000000000
31020122220101111201
4130302212320000
51442123402410
6115532550544
714653450204
oct3462467000
91218811451
10483028480
112287254a0
12115922454
13790c228c
1448218b04
152c61483a
hex1cca6e00

483028480 has 160 divisors (see below), whose sum is σ = 1339066080. Its totient is φ = 165150720.

The previous prime is 483028477. The next prime is 483028489. The reversal of 483028480 is 84820384.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×4830284802 = 466633024982220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483028489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478216 + ... + 479224.

It is an arithmetic number, because the mean of its divisors is an integer number (8369163).

Almost surely, 2483028480 is an apocalyptic number.

483028480 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 483028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669533040).

483028480 is an abundant number, since it is smaller than the sum of its proper divisors (856037600).

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

483028480 is a wasteful number, since it uses less digits than its factorization.

483028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 483028480 is about 21977.9089087201. The cubic root of 483028480 is about 784.6167574972.

The spelling of 483028480 in words is "four hundred eighty-three million, twenty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 128 136 160 170 176 187 220 256 272 320 340 352 374 440 512 544 640 680 704 748 880 935 1009 1088 1280 1360 1408 1496 1760 1870 2018 2176 2560 2720 2816 2992 3520 3740 4036 4352 5045 5440 5632 5984 7040 7480 8072 8704 10090 10880 11099 11968 14080 14960 16144 17153 20180 21760 22198 23936 28160 29920 32288 34306 40360 43520 44396 47872 55495 59840 64576 68612 80720 85765 88792 95744 110990 119680 129152 137224 161440 171530 177584 188683 221980 239360 258304 274448 322880 343060 355168 377366 443960 478720 516608 548896 645760 686120 710336 754732 887920 943415 1097792 1291520 1372240 1420672 1509464 1775840 1886830 2195584 2583040 2744480 2841344 3018928 3551680 3773660 4391168 5488960 5682688 6037856 7103360 7547320 8782336 10977920 12075712 14206720 15094640 21955840 24151424 28413440 30189280 43911680 48302848 60378560 96605696 120757120 241514240 483028480