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4073890816 = 2104721801
BaseRepresentation
bin1111001011010010…
…1010010000000000
3101111220202002121001
43302310222100000
531320404001231
61512125341344
7202645333462
oct36264522000
911456662531
104073890816
111800672516
12958407854
134cc0231a8
142a90aa132
1518c9bdb61
hexf2d2a400

4073890816 has 66 divisors (see below), whose sum is σ = 8325382358. Its totient is φ = 1992499200.

The previous prime is 4073890811. The next prime is 4073890817. The reversal of 4073890816 is 6180983704.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2770969600 + 1302921216 = 52640^2 + 36096^2 .

It is not an unprimeable number, because it can be changed into a prime (4073890811) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2261116 + ... + 2262916.

Almost surely, 24073890816 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 4073890816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4162691179).

4073890816 is an abundant number, since it is smaller than the sum of its proper divisors (4251491542).

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

4073890816 is an equidigital number, since it uses as much as digits as its factorization.

4073890816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 4073890816 is about 63827.0382831602. The cubic root of 4073890816 is about 1597.1160047304.

The spelling of 4073890816 in words is "four billion, seventy-three million, eight hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 512 752 1024 1504 1801 2209 3008 3602 4418 6016 7204 8836 12032 14408 17672 24064 28816 35344 48128 57632 70688 84647 115264 141376 169294 230528 282752 338588 461056 565504 677176 922112 1131008 1354352 1844224 2262016 2708704 3978409 5417408 7956818 10834816 15913636 21669632 31827272 43339264 63654544 86678528 127309088 254618176 509236352 1018472704 2036945408 4073890816