Search a number
-
+
2450098816 = 27112935939
BaseRepresentation
bin1001001000001001…
…1000101010000000
320022202021220201121
42102002120222000
520004211130231
61043042042024
7114500332144
oct22202305200
96282256647
102450098816
111048020560
12584649314
133007aa019
14193581224
15e5170311
hex92098a80

2450098816 has 64 divisors (see below), whose sum is σ = 5343861600. Its totient is φ = 1109693440.

The previous prime is 2450098799. The next prime is 2450098831. The reversal of 2450098816 is 6188900542.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 409575 + ... + 415513.

Almost surely, 22450098816 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 2450098816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671930800).

2450098816 is an abundant number, since it is smaller than the sum of its proper divisors (2893762784).

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

2450098816 is a wasteful number, since it uses less digits than its factorization.

2450098816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6257 (or 6245 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 2450098816 is about 49498.4728653319. The cubic root of 2450098816 is about 1348.1178739742.

The spelling of 2450098816 in words is "two billion, four hundred fifty million, ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 293 352 586 704 1172 1408 2344 3223 4688 5939 6446 9376 11878 12892 18752 23756 25784 37504 47512 51568 65329 95024 103136 130658 190048 206272 261316 380096 412544 522632 760192 1045264 1740127 2090528 3480254 4181056 6960508 8362112 13921016 19141397 27842032 38282794 55684064 76565588 111368128 153131176 222736256 306262352 612524704 1225049408 2450098816