Search a number
-
+
4033468080 = 243255602039
BaseRepresentation
bin1111000001101001…
…1101011010110000
3101102002200102000200
43300122131122300
531230031434310
61504123115200
7201644625105
oct36032353260
911362612020
104033468080
11178a8732a4
12946972b00
134c383c105
142a3986aac
151891869c0
hexf069d6b0

4033468080 has 60 divisors (see below), whose sum is σ = 13545732720. Its totient is φ = 1075591296.

The previous prime is 4033468073. The next prime is 4033468081. The reversal of 4033468080 is 808643304.

4033468080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (4033468081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2800300 + ... + 2801739.

It is an arithmetic number, because the mean of its divisors is an integer number (225762212).

Almost surely, 24033468080 is an apocalyptic number.

4033468080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4033468080 is an abundant number, since it is smaller than the sum of its proper divisors (9512264640).

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

4033468080 is a wasteful number, since it uses less digits than its factorization.

4033468080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5602058 (or 5602049 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4033468080 is about 63509.5904568751. The cubic root of 4033468080 is about 1591.8160334715.

The spelling of 4033468080 in words is "four billion, thirty-three million, four hundred sixty-eight thousand, 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 5602039 11204078 16806117 22408156 28010195 33612234 44816312 50418351 56020390 67224468 84030585 89632624 100836702 112040780 134448936 168061170 201673404 224081560 252091755 268897872 336122340 403346808 448163120 504183510 672244680 806693616 1008367020 1344489360 2016734040 4033468080