Search a number
-
+
3242555448 = 2331155722051
BaseRepresentation
bin1100000101000101…
…0111100000111000
322100222102212212020
43001101113200320
523120043233243
61253431114440
7143232160266
oct30121274070
98328385766
103242555448
1114143799a0
12765b12a20
133c8a1b582
1422a905436
1513ea07283
hexc1457838

3242555448 has 64 divisors (see below), whose sum is σ = 8859611520. Its totient is φ = 980784000.

The previous prime is 3242555431. The next prime is 3242555461. The reversal of 3242555448 is 8445552423.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 136023 + ... + 158073.

It is an arithmetic number, because the mean of its divisors is an integer number (138431430).

Almost surely, 23242555448 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 3242555448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429805760).

3242555448 is an abundant number, since it is smaller than the sum of its proper divisors (5617056072).

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

3242555448 is a wasteful number, since it uses less digits than its factorization.

3242555448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22628 (or 22624 counting only the distinct ones).

The product of its digits is 768000, while the sum is 42.

The square root of 3242555448 is about 56943.4407811822. The cubic root of 3242555448 is about 1480.1161717916.

The spelling of 3242555448 in words is "three billion, two hundred forty-two million, five hundred fifty-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 557 1114 1671 2228 3342 4456 6127 6684 12254 13368 18381 22051 24508 36762 44102 49016 66153 73524 88204 132306 147048 176408 242561 264612 485122 529224 727683 970244 1455366 1940488 2910732 5821464 12282407 24564814 36847221 49129628 73694442 98259256 135106477 147388884 270212954 294777768 405319431 540425908 810638862 1080851816 1621277724 3242555448