Search a number
-
+
445502500 = 22541983113
BaseRepresentation
bin11010100011011…
…101010000100100
31011001021212112121
4122203131100210
51403022040000
6112112355324
714016465052
oct3243352044
91131255477
10445502500
11209524693
12105245b44
13713b3861
144324b1d2
15291a0b1a
hex1a8dd424

445502500 has 120 divisors (see below), whose sum is σ = 1047039840. Its totient is φ = 165312000.

The previous prime is 445502461. The next prime is 445502503. The reversal of 445502500 is 5205544.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (445502503) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3942444 + ... + 3942556.

It is an arithmetic number, because the mean of its divisors is an integer number (8725332).

Almost surely, 2445502500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445502500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523519920).

445502500 is an abundant number, since it is smaller than the sum of its proper divisors (601537340).

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

445502500 is a wasteful number, since it uses less digits than its factorization.

445502500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 445502500 is about 21106.9301415436. The cubic root of 445502500 is about 763.7479340779.

The spelling of 445502500 in words is "four hundred forty-five million, five hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 83 95 100 113 125 166 190 226 250 332 380 415 452 475 500 565 625 830 950 1130 1250 1577 1660 1900 2075 2147 2260 2375 2500 2825 3154 4150 4294 4750 5650 6308 7885 8300 8588 9379 9500 10375 10735 11300 11875 14125 15770 18758 20750 21470 23750 28250 31540 37516 39425 41500 42940 46895 47500 51875 53675 56500 70625 78850 93790 103750 107350 141250 157700 178201 187580 197125 207500 214700 234475 268375 282500 356402 394250 468950 536750 712804 788500 891005 937900 985625 1073500 1172375 1341875 1782010 1971250 2344750 2683750 3564020 3942500 4455025 4689500 5367500 5861875 8910050 11723750 17820100 22275125 23447500 44550250 89100500 111375625 222751250 445502500