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2049104384 = 2917397593
BaseRepresentation
bin111101000100010…
…1101101000000000
312021210202021202222
41322020231220000
513144032320014
6535155230212
7101531046155
oct17210555000
95253667688
102049104384
119617364a8
124922a8368
132686aac02
141561dc22c
15bed6208e
hex7a22da00

2049104384 has 80 divisors (see below), whose sum is σ = 4353290568. Its totient is φ = 960233472.

The previous prime is 2049104383. The next prime is 2049104461. The reversal of 2049104384 is 4834019402.

It can be written as a sum of positive squares in 4 ways, for example, as 2028601600 + 20502784 = 45040^2 + 4528^2 .

It is not an unprimeable number, because it can be changed into a prime (2049104383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3455192 + ... + 3455784.

Almost surely, 22049104384 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 2049104384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176645284).

2049104384 is an abundant number, since it is smaller than the sum of its proper divisors (2304186184).

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

2049104384 is an equidigital number, since it uses as much as digits as its factorization.

2049104384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 2049104384 is about 45267.0341860387. The cubic root of 2049104384 is about 1270.1490688269.

The spelling of 2049104384 in words is "two billion, forty-nine million, one hundred four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 397 512 544 593 794 1088 1186 1588 2176 2372 3176 4352 4744 6352 6749 8704 9488 10081 12704 13498 18976 20162 25408 26996 37952 40324 50816 53992 75904 80648 101632 107984 151808 161296 203264 215968 235421 303616 322592 431936 470842 645184 863872 941684 1290368 1727744 1883368 2580736 3455488 3766736 4002157 5161472 7533472 8004314 15066944 16008628 30133888 32017256 60267776 64034512 120535552 128069024 256138048 512276096 1024552192 2049104384