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6049990440 = 2335513229127
BaseRepresentation
bin1011010001001101…
…11000011100101000
3120121122010100200000
411220212320130220
544342244143230
62440200143000
7302632033044
oct55046703450
916548110600
106049990440
1126250753aa
12120a167a60
1375554ca00
14415703024
1525620eb60
hex1689b8728

6049990440 has 576 divisors, whose sum is σ = 23021107200. Its totient is φ = 1426553856.

The previous prime is 6049990417. The next prime is 6049990451. The reversal of 6049990440 is 440999406.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47637657 + ... + 47637783.

It is an arithmetic number, because the mean of its divisors is an integer number (39967200).

Almost surely, 26049990440 is an apocalyptic number.

6049990440 is a gapful number since it is divisible by the number (60) 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 6049990440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11510553600).

6049990440 is an abundant number, since it is smaller than the sum of its proper divisors (16971116760).

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

6049990440 is a wasteful number, since it uses less digits than its factorization.

6049990440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 6049990440 is about 77781.6844764884. The cubic root of 6049990440 is about 1822.1532338270.

The spelling of 6049990440 in words is "six billion, forty-nine million, nine hundred ninety thousand, four hundred forty".