Search a number
-
+
2440561326 = 237223418803
BaseRepresentation
bin1001000101111000…
…0000001010101110
320022002100100202020
42101132000022232
514444240430301
61042101411010
7114323300100
oct22136001256
96262310666
102440561326
1110426a6935
12581409a66
132cb81ab38
141921bb570
15e43d9436
hex917802ae

2440561326 has 96 divisors (see below), whose sum is σ = 6070111488. Its totient is φ = 650643840.

The previous prime is 2440561289. The next prime is 2440561351. The reversal of 2440561326 is 6231650442.

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 47 ways as a sum of consecutive naturals, for example, 272841 + ... + 281643.

It is an arithmetic number, because the mean of its divisors is an integer number (63230328).

Almost surely, 22440561326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2440561326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035055744).

2440561326 is an abundant number, since it is smaller than the sum of its proper divisors (3629550162).

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

2440561326 is a wasteful number, since it uses less digits than its factorization.

2440561326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8886 (or 8879 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 2440561326 is about 49402.0376705253. The cubic root of 2440561326 is about 1346.3663282152.

The spelling of 2440561326 in words is "two billion, four hundred forty million, five hundred sixty-one thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 23 41 42 46 49 69 82 98 123 138 147 161 246 287 294 322 483 574 861 943 966 1127 1722 1886 2009 2254 2829 3381 4018 5658 6027 6601 6762 8803 12054 13202 17606 19803 26409 39606 46207 52818 61621 92414 123242 138621 184863 202469 277242 360923 369726 404938 431347 607407 721846 862694 1082769 1214814 1294041 1417283 2165538 2526461 2588082 2834566 4251849 5052922 7579383 8301229 8503698 9920981 15158766 16602458 17685227 19841962 24903687 29762943 35370454 49807374 53055681 58108603 59525886 106111362 116217206 174325809 348651618 406760221 813520442 1220280663 2440561326