Search a number
-
+
4400774460 = 22325231062989
BaseRepresentation
bin1000001100100111…
…00111110100111100
3102100200211111122200
410012103213310330
533003044240320
62004403511500
7214024652145
oct40623476474
912320744580
104400774460
111959138a95
12a29988590
13551974674
142da67aacc
151ab53d290
hex1064e7d3c

4400774460 has 72 divisors (see below), whose sum is σ = 13929420960. Its totient is φ = 1122515328.

The previous prime is 4400774459. The next prime is 4400774489. The reversal of 4400774460 is 644770044.

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

It is a congruent number.

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, 527355 + ... + 535634.

It is an arithmetic number, because the mean of its divisors is an integer number (193464180).

Almost surely, 24400774460 is an apocalyptic number.

It is an amenable number.

4400774460 is an abundant number, since it is smaller than the sum of its proper divisors (9528646500).

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

4400774460 is a wasteful number, since it uses less digits than its factorization.

4400774460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063027 (or 1063022 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 4400774460 is about 66338.3332621494. Note that the first 3 decimals coincide. The cubic root of 4400774460 is about 1638.7386767053.

The spelling of 4400774460 in words is "four billion, four hundred million, seven hundred seventy-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 1062989 2125978 3188967 4251956 5314945 6377934 9566901 10629890 12755868 15944835 19133802 21259780 24448747 31889670 38267604 47834505 48897494 63779340 73346241 95669010 97794988 122243735 146692482 191338020 220038723 244487470 293384964 366731205 440077446 488974940 733462410 880154892 1100193615 1466924820 2200387230 4400774460