Search a number
-
+
4325739264 = 283271137659
BaseRepresentation
bin1000000011101010…
…11000101100000000
3102011110122022201100
410001311120230000
532324342124024
61553123334400
7212124114510
oct40165305400
912143568640
104325739264
11191a848a30
12a08821400
1353c262042
142d0707840
151a4b6a7c9
hex101d58b00

4325739264 has 432 divisors, whose sum is σ = 15994218240. Its totient is φ = 1091543040.

The previous prime is 4325739259. The next prime is 4325739269. The reversal of 4325739264 is 4629375234.

4325739264 is a `hidden beast` number, since 4 + 3 + 257 + 392 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4325739259) and next prime (4325739269).

It is a super-2 number, since 2×43257392642 = 37424040360222523392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4325739269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6563767 + ... + 6564425.

Almost surely, 24325739264 is an apocalyptic number.

4325739264 is a gapful number since it is divisible by the number (44) 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 4325739264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7997109120).

4325739264 is an abundant number, since it is smaller than the sum of its proper divisors (11668478976).

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

4325739264 is a wasteful number, since it uses less digits than its factorization.

4325739264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 719 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 4325739264 is about 65770.3524697869. The cubic root of 4325739264 is about 1629.3714896527.

The spelling of 4325739264 in words is "four billion, three hundred twenty-five million, seven hundred thirty-nine thousand, two hundred sixty-four".