Search a number
-
+
6004450984 = 23731941532
BaseRepresentation
bin1011001011110010…
…01010011010101000
3120111110102201021111
411211321022122220
544244114412414
62431452120104
7301536664000
oct54571123250
916443381244
106004450984
1126013a0994
1211b6a66034
13748c9699c
1440d64b000
152522168c4
hex165e4a6a8

6004450984 has 192 divisors, whose sum is σ = 14429520000. Its totient is φ = 2333560320.

The previous prime is 6004450973. The next prime is 6004450987. The reversal of 6004450984 is 4890544006.

It is not an unprimeable number, because it can be changed into a prime (6004450987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113291502 + ... + 113291554.

It is an arithmetic number, because the mean of its divisors is an integer number (75153750).

Almost surely, 26004450984 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 6004450984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7214760000).

6004450984 is an abundant number, since it is smaller than the sum of its proper divisors (8425069016).

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

6004450984 is a wasteful number, since it uses less digits than its factorization.

6004450984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 6004450984 is about 77488.3925759207. The cubic root of 6004450984 is about 1817.5698136954.

The spelling of 6004450984 in words is "six billion, four million, four hundred fifty thousand, nine hundred eighty-four".