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2005026804 = 2233113154443
BaseRepresentation
bin111011110000010…
…0100011111110100
312011201210220201000
41313200210133310
513101241324204
6530542403300
7100454306124
oct16740443764
95151726630
102005026804
11939870350
1247b590530
1325c5173c1
14150406c84
15bb057039
hex778247f4

2005026804 has 96 divisors (see below), whose sum is σ = 5853818880. Its totient is φ = 587973600.

The previous prime is 2005026787. The next prime is 2005026823. The reversal of 2005026804 is 4086205002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9607 + ... + 64049.

It is an arithmetic number, because the mean of its divisors is an integer number (60977280).

Almost surely, 22005026804 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 2005026804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926909440).

2005026804 is an abundant number, since it is smaller than the sum of its proper divisors (3848792076).

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

2005026804 is a wasteful number, since it uses less digits than its factorization.

2005026804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54498 (or 54490 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2005026804 is about 44777.5256574099. The cubic root of 2005026804 is about 1260.9757294721.

The spelling of 2005026804 in words is "two billion, five million, twenty-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 1023 1116 1188 1364 1674 2046 3069 3348 4092 6138 9207 12276 18414 36828 54443 108886 163329 217772 326658 489987 598873 653316 979974 1197746 1469961 1687733 1796619 1959948 2395492 2939922 3375466 3593238 5063199 5389857 5879844 6750932 7186476 10126398 10779714 15189597 16169571 18565063 20252796 21559428 30379194 32339142 37130126 45568791 55695189 60758388 64678284 74260252 91137582 111390378 167085567 182275164 222780756 334171134 501256701 668342268 1002513402 2005026804