Search a number
-
+
5916049920 = 293351131251
BaseRepresentation
bin1011000001001111…
…11100001000000000
3120021022002110211000
411200213330020000
544104002044140
62415013252000
7266414410644
oct54047741000
916238073730
105916049920
112566501960
121191334000
13733884771
144019d8c24
152495a3a30
hex1609fc200

5916049920 has 640 divisors, whose sum is σ = 23758479360. Its totient is φ = 1382400000.

The previous prime is 5916049913. The next prime is 5916049921. The reversal of 5916049920 is 299406195.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5916049921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23569795 + ... + 23570045.

It is an arithmetic number, because the mean of its divisors is an integer number (37122624).

Almost surely, 25916049920 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 5916049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11879239680).

5916049920 is an abundant number, since it is smaller than the sum of its proper divisors (17842429440).

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

5916049920 is a wasteful number, since it uses less digits than its factorization.

5916049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 5916049920 is about 76915.8626032368. The cubic root of 5916049920 is about 1808.6059002501.

The spelling of 5916049920 in words is "five billion, nine hundred sixteen million, forty-nine thousand, nine hundred twenty".