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493444836 = 223289337457
BaseRepresentation
bin11101011010010…
…101111011100100
31021101111121001200
4131122111323210
52002310213321
6120544122500
715141132453
oct3532257344
91241447050
10493444836
1123359a455
12119306430
137b2cb4c1
144976ab9a
152d4c0d26
hex1d695ee4

493444836 has 72 divisors (see below), whose sum is σ = 1267844760. Its totient is φ = 161796096.

The previous prime is 493444781. The next prime is 493444843. The reversal of 493444836 is 638444394.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46376100 + 447068736 = 6810^2 + 21144^2 .

It is a junction number, because it is equal to n+sod(n) for n = 493444791 and 493444800.

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 23 ways as a sum of consecutive naturals, for example, 1079520 + ... + 1079976.

It is an arithmetic number, because the mean of its divisors is an integer number (17608955).

Almost surely, 2493444836 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 493444836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633922380).

493444836 is an abundant number, since it is smaller than the sum of its proper divisors (774399924).

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

493444836 is a wasteful number, since it uses less digits than its factorization.

493444836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 888 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 493444836 is about 22213.6182554756. The cubic root of 493444836 is about 790.2166985519.

It can be divided in two parts, 4934 and 44836, that added together give a triangular number (49770 = T315).

The spelling of 493444836 in words is "four hundred ninety-three million, four hundred forty-four thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 337 356 457 534 674 801 914 1011 1068 1348 1371 1602 1828 2022 2742 3033 3204 4044 4113 5484 6066 8226 12132 16452 29993 40673 59986 81346 89979 119972 122019 154009 162692 179958 244038 269937 308018 359916 366057 462027 488076 539874 616036 732114 924054 1079748 1386081 1464228 1848108 2772162 5544324 13706801 27413602 41120403 54827204 82240806 123361209 164481612 246722418 493444836