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485375400 = 233252436271
BaseRepresentation
bin11100111011100…
…011110110101000
31020211022121212200
4130323203312220
51443224003100
6120055140200
715012423426
oct3473436650
91224277780
10485375400
11229a887a4
12116674660
13797345a3
144866a116
152c929e00
hex1cee3da8

485375400 has 144 divisors (see below), whose sum is σ = 1668226560. Its totient is φ = 126403200.

The previous prime is 485375399. The next prime is 485375419. The reversal of 485375400 is 4573584.

485375400 is a `hidden beast` number, since 4 + 85 + 37 + 540 + 0 = 666.

It is a super-3 number, since 3×4853754003 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 74265 + ... + 80535.

Almost surely, 2485375400 is an apocalyptic number.

485375400 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 485375400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834113280).

485375400 is an abundant number, since it is smaller than the sum of its proper divisors (1182851160).

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

485375400 is a wasteful number, since it uses less digits than its factorization.

485375400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6336 (or 6324 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 485375400 is about 22031.2369148897. The cubic root of 485375400 is about 785.8854600688.

The spelling of 485375400 in words is "four hundred eighty-five million, three hundred seventy-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 43 45 50 60 72 75 86 90 100 120 129 150 172 180 200 215 225 258 300 344 360 387 430 450 516 600 645 774 860 900 1032 1075 1290 1548 1720 1800 1935 2150 2580 3096 3225 3870 4300 5160 6271 6450 7740 8600 9675 12542 12900 15480 18813 19350 25084 25800 31355 37626 38700 50168 56439 62710 75252 77400 94065 112878 125420 150504 156775 188130 225756 250840 269653 282195 313550 376260 451512 470325 539306 564390 627100 752520 808959 940650 1078612 1128780 1254200 1348265 1410975 1617918 1881300 2157224 2257560 2426877 2696530 2821950 3235836 3762600 4044795 4853754 5393060 5643900 6471672 6741325 8089590 9707508 10786120 11287800 12134385 13482650 16179180 19415016 20223975 24268770 26965300 32358360 40447950 48537540 53930600 60671925 80895900 97075080 121343850 161791800 242687700 485375400