Search a number
-
+
4270413024 = 253217982837
BaseRepresentation
bin1111111010001001…
…0101010011100000
3102000121112110101100
43332202111103200
532221211204044
61543425434400
7210552624513
oct37642252340
912017473340
104270413024
1118a159a569
129b219ba00
13530960517
142c7224d7a
1519ed8c869
hexfe8954e0

4270413024 has 72 divisors (see below), whose sum is σ = 12211977960. Its totient is φ = 1415501568.

The previous prime is 4270413023. The next prime is 4270413047. The reversal of 4270413024 is 4203140724.

4270413024 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4270413023) 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, 10134 + ... + 92970.

It is an arithmetic number, because the mean of its divisors is an integer number (169610805).

Almost surely, 24270413024 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 4270413024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6105988980).

4270413024 is an abundant number, since it is smaller than the sum of its proper divisors (7941564936).

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

4270413024 is a wasteful number, since it uses less digits than its factorization.

4270413024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83032 (or 83021 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4270413024 is about 65348.3972565510. The cubic root of 4270413024 is about 1622.3951037398.

Adding to 4270413024 its reverse (4203140724), we get a palindrome (8473553748).

The spelling of 4270413024 in words is "four billion, two hundred seventy million, four hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 179 288 358 537 716 1074 1432 1611 2148 2864 3222 4296 5728 6444 8592 12888 17184 25776 51552 82837 165674 248511 331348 497022 662696 745533 994044 1325392 1491066 1988088 2650784 2982132 3976176 5964264 7952352 11928528 14827823 23857056 29655646 44483469 59311292 88966938 118622584 133450407 177933876 237245168 266900814 355867752 474490336 533801628 711735504 1067603256 1423471008 2135206512 4270413024