Search a number
-
+
4319448820 = 2253710157793
BaseRepresentation
bin1000000010111010…
…11000111011110100
3102011000210201211221
410001131120323310
532321234330240
61552340440124
7212016465151
oct40135307364
912130721757
104319448820
111917241915
12a066a9044
1353ab6ba9b
142cd94b228
151a4326a4a
hex101758ef4

4319448820 has 48 divisors (see below), whose sum is σ = 9408400848. Its totient is φ = 1664409600.

The previous prime is 4319448811. The next prime is 4319448863. The reversal of 4319448820 is 288449134.

It can be written as a sum of positive squares in 8 ways, for example, as 1286083044 + 3033365776 = 35862^2 + 55076^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45844 + ... + 103636.

It is an arithmetic number, because the mean of its divisors is an integer number (196008351).

Almost surely, 24319448820 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 4319448820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704200424).

4319448820 is an abundant number, since it is smaller than the sum of its proper divisors (5088952028).

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

4319448820 is a wasteful number, since it uses less digits than its factorization.

4319448820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57940 (or 57938 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 4319448820 is about 65722.5137985455. The cubic root of 4319448820 is about 1628.5813016081.

The spelling of 4319448820 in words is "four billion, three hundred nineteen million, four hundred forty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 101 148 185 202 370 404 505 740 1010 2020 3737 7474 14948 18685 37370 57793 74740 115586 231172 288965 577930 1155860 2138341 4276682 5837093 8553364 10691705 11674186 21383410 23348372 29185465 42766820 58370930 116741860 215972441 431944882 863889764 1079862205 2159724410 4319448820