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2004888400 = 24524722269
BaseRepresentation
bin111011110000000…
…0010101101010000
312011201112212211221
41313200002231100
513101222412100
6530535414424
7100453161454
oct16740025520
95151485757
102004888400
11939786369
1247b524414
1325c4993c8
141503ac664
15bb02b01a
hex77802b50

2004888400 has 90 divisors (see below), whose sum is σ = 4923577790. Its totient is φ = 784546560.

The previous prime is 2004888377. The next prime is 2004888409. The reversal of 2004888400 is 48884002.

It can be written as a sum of positive squares in 3 ways, for example, as 2862864 + 2002025536 = 1692^2 + 44744^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004888409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 882466 + ... + 884734.

Almost surely, 22004888400 is an apocalyptic number.

2004888400 is a gapful number since it is divisible by the number (20) 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 2004888400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461788895).

2004888400 is an abundant number, since it is smaller than the sum of its proper divisors (2918689390).

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

2004888400 is a wasteful number, since it uses less digits than its factorization.

2004888400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 2004888400 is about 44775.9801679427. The cubic root of 2004888400 is about 1260.9467143819.

The spelling of 2004888400 in words is "two billion, four million, eight hundred eighty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 188 200 235 376 400 470 752 940 1175 1880 2209 2269 2350 3760 4418 4538 4700 8836 9076 9400 11045 11345 17672 18152 18800 22090 22690 35344 36304 44180 45380 55225 56725 88360 90760 106643 110450 113450 176720 181520 213286 220900 226900 426572 441800 453800 533215 853144 883600 907600 1066430 1706288 2132860 2666075 4265720 5012221 5332150 8531440 10024442 10664300 20048884 21328600 25061105 40097768 42657200 50122210 80195536 100244420 125305525 200488840 250611050 400977680 501222100 1002444200 2004888400