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1809028590 = 235478831453
BaseRepresentation
bin110101111010011…
…1001010111101110
311200002000011200220
41223310321113232
512201102403330
6455301432210
762554326555
oct15364712756
94602004626
101809028590
11849170a56
12425a0b666
1322aa31725
14132386d9c
15a8c3d710
hex6bd395ee

1809028590 has 64 divisors (see below), whose sum is σ = 4442121216. Its totient is φ = 471284352.

The previous prime is 1809028583. The next prime is 1809028601. The reversal of 1809028590 is 958209081.

It is a happy number.

1809028590 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1244304 + ... + 1245756.

It is an arithmetic number, because the mean of its divisors is an integer number (69408144).

Almost surely, 21809028590 is an apocalyptic number.

1809028590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1809028590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221060608).

1809028590 is an abundant number, since it is smaller than the sum of its proper divisors (2633092626).

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

1809028590 is a wasteful number, since it uses less digits than its factorization.

1809028590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393.

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 1809028590 is about 42532.6767321315. The cubic root of 1809028590 is about 1218.4708490971.

The spelling of 1809028590 in words is "one billion, eight hundred nine million, twenty-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 883 1410 1453 1766 2649 2906 4359 4415 5298 7265 8718 8830 13245 14530 21795 26490 41501 43590 68291 83002 124503 136582 204873 207505 249006 341455 409746 415010 622515 682910 1024365 1245030 1282999 2048730 2565998 3848997 6414995 7697994 12829990 19244985 38489970 60300953 120601906 180902859 301504765 361805718 603009530 904514295 1809028590