Search a number
-
+
2445505048 = 237192519157
BaseRepresentation
bin1001000111000011…
…0111001000011000
320022102122112021001
42101300313020120
520002022130143
61042355354344
7114413310220
oct22160671030
96272575231
102445505048
111045473158
12582bb29b4
132cc85c10c
14192b07080
15e4a6414d
hex91c37218

2445505048 has 64 divisors (see below), whose sum is σ = 5538758400. Its totient is φ = 988848000.

The previous prime is 2445505039. The next prime is 2445505057. The reversal of 2445505048 is 8405055442.

It is an interprime number because it is at equal distance from previous prime (2445505039) and next prime (2445505057).

It is a junction number, because it is equal to n+sod(n) for n = 2445504998 and 2445505016.

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, 262486 + ... + 271642.

It is an arithmetic number, because the mean of its divisors is an integer number (86543100).

Almost surely, 22445505048 is an apocalyptic number.

2445505048 is a gapful number since it is divisible by the number (28) 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 2445505048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769379200).

2445505048 is an abundant number, since it is smaller than the sum of its proper divisors (3093253352).

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

2445505048 is a wasteful number, since it uses less digits than its factorization.

2445505048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9440 (or 9436 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 37.

The square root of 2445505048 is about 49452.0479656809. The cubic root of 2445505048 is about 1347.2748038644.

The spelling of 2445505048 in words is "two billion, four hundred forty-five million, five hundred five thousand, forty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 251 266 502 532 1004 1064 1757 2008 3514 4769 7028 9157 9538 14056 18314 19076 33383 36628 38152 64099 66766 73256 128198 133532 173983 256396 267064 347966 512792 695932 1217881 1391864 2298407 2435762 4596814 4871524 9193628 9743048 16088849 18387256 32177698 43669733 64355396 87339466 128710792 174678932 305688131 349357864 611376262 1222752524 2445505048