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2047979304 = 2332722937541
BaseRepresentation
bin111101000010001…
…1010111100101000
312021201122010110100
41322010122330220
513143240314204
6535115145400
7101515352100
oct17204327450
95251563410
102047979304
11961038188
12491a45260
132683a5a97
14155dc8200
15bebdda39
hex7a11af28

2047979304 has 288 divisors, whose sum is σ = 6867736200. Its totient is φ = 548674560.

The previous prime is 2047979299. The next prime is 2047979369. The reversal of 2047979304 is 4039797402.

2047979304 is a `hidden beast` number, since 204 + 79 + 79 + 304 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1963376100 + 84603204 = 44310^2 + 9198^2 .

It is a super-2 number, since 2×20479793042 = 8388438459224648832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2047979304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3785274 + ... + 3785814.

Almost surely, 22047979304 is an apocalyptic number.

2047979304 is a gapful number since it is divisible by the number (24) 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 2047979304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433868100).

2047979304 is an abundant number, since it is smaller than the sum of its proper divisors (4819756896).

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

2047979304 is a wasteful number, since it uses less digits than its factorization.

2047979304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2047979304 is about 45254.6053347060. The cubic root of 2047979304 is about 1269.9165638450.

The spelling of 2047979304 in words is "two billion, forty-seven million, nine hundred seventy-nine thousand, three hundred four".