Search a number
-
+
4326644880 = 2432513214549
BaseRepresentation
bin1000000011110001…
…10101110010010000
3102011112100022222200
410001320311302100
532330110114010
61553155003200
7212134606005
oct40170656220
912145308880
104326644880
111920307378
12a08b99500
1353c4bb2cc
142d08a18ac
151a4c98cc0
hex101e35c90

4326644880 has 120 divisors (see below), whose sum is σ = 14544511800. Its totient is φ = 1152645120.

The previous prime is 4326644873. The next prime is 4326644893. The reversal of 4326644880 is 884466234.

It can be written as a sum of positive squares in 4 ways, for example, as 1791320976 + 2535323904 = 42324^2 + 50352^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 948846 + ... + 953394.

It is an arithmetic number, because the mean of its divisors is an integer number (121204265).

Almost surely, 24326644880 is an apocalyptic number.

4326644880 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 4326644880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7272255900).

4326644880 is an abundant number, since it is smaller than the sum of its proper divisors (10217866920).

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

4326644880 is a wasteful number, since it uses less digits than its factorization.

4326644880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889 (or 5880 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 4326644880 is about 65777.2367920696. The cubic root of 4326644880 is about 1629.4851875156.

The spelling of 4326644880 in words is "four billion, three hundred twenty-six million, six hundred forty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1321 2642 3963 4549 5284 6605 7926 9098 10568 11889 13210 13647 15852 18196 19815 21136 22745 23778 26420 27294 31704 36392 39630 40941 45490 47556 52840 54588 59445 63408 68235 72784 79260 81882 90980 95112 105680 109176 118890 136470 158520 163764 181960 190224 204705 218352 237780 272940 317040 327528 363920 409410 475560 545880 655056 818820 951120 1091760 1637640 3275280 6009229 12018458 18027687 24036916 30046145 36055374 48073832 54083061 60092290 72110748 90138435 96147664 108166122 120184580 144221496 180276870 216332244 240369160 270415305 288442992 360553740 432664488 480738320 540830610 721107480 865328976 1081661220 1442214960 2163322440 4326644880