Search a number
-
+
5413582772 = 221323291271229
BaseRepresentation
bin1010000101010110…
…01011011110110100
3111222021121111110122
411002223023132310
542041334122042
62253103511112
7251103460103
oct50253133664
914867544418
105413582772
11232890a954
121070bb8498
13683747720
14394da003a
1521a3ee7d2
hex142acb7b4

5413582772 has 96 divisors (see below), whose sum is σ = 11108966400. Its totient is φ = 2287498752.

The previous prime is 5413582753. The next prime is 5413582777. The reversal of 5413582772 is 2772853145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5413582777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4404254 + ... + 4405482.

It is an arithmetic number, because the mean of its divisors is an integer number (115718400).

Almost surely, 25413582772 is an apocalyptic number.

5413582772 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

5413582772 is an abundant number, since it is smaller than the sum of its proper divisors (5695383628).

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

5413582772 is a wasteful number, since it uses less digits than its factorization.

5413582772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1423 counting only the distinct ones).

The product of its digits is 470400, while the sum is 44.

The square root of 5413582772 is about 73577.0532978863. The cubic root of 5413582772 is about 1755.8803841464.

The spelling of 5413582772 in words is "five billion, four hundred thirteen million, five hundred eighty-two thousand, seven hundred seventy-two".

Divisors: 1 2 4 13 23 26 29 46 52 58 92 116 127 254 299 377 508 598 667 754 1196 1229 1334 1508 1651 2458 2668 2921 3302 3683 4916 5842 6604 7366 8671 11684 14732 15977 17342 28267 31954 34684 35641 37973 47879 56534 63908 71282 75946 84709 95758 113068 142564 151892 156083 169418 191516 312166 338836 367471 463333 624332 734942 819743 926666 1101217 1469884 1639486 1853332 2029079 2202434 3278972 3589909 4058158 4404868 4526407 7179818 8116316 9052814 10656659 14359636 18105628 21313318 42626636 46668817 58843291 93337634 104107361 117686582 186675268 208214722 235373164 416429444 1353395693 2706791386 5413582772