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827426490 = 235119725849
BaseRepresentation
bin110001010100011…
…000011010111010
32010122221121202120
4301110120122322
53143310121430
6214034342110
726335003062
oct6124303272
92118847676
10827426490
11395073850
121b112a936
13102566697
147bc683a2
154c993610
hex315186ba

827426490 has 64 divisors (see below), whose sum is σ = 2188771200. Its totient is φ = 198512640.

The previous prime is 827426489. The next prime is 827426491. The reversal of 827426490 is 94624728.

It is an interprime number because it is at equal distance from previous prime (827426489) and next prime (827426491).

It is not an unprimeable number, because it can be changed into a prime (827426491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19086 + ... + 44934.

It is an arithmetic number, because the mean of its divisors is an integer number (34199550).

Almost surely, 2827426490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827426490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094385600).

827426490 is an abundant number, since it is smaller than the sum of its proper divisors (1361344710).

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

827426490 is a wasteful number, since it uses less digits than its factorization.

827426490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25967.

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 827426490 is about 28765.0219885193. The cubic root of 827426490 is about 938.8073337784.

The spelling of 827426490 in words is "eight hundred twenty-seven million, four hundred twenty-six thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 97 110 165 194 291 330 485 582 970 1067 1455 2134 2910 3201 5335 6402 10670 16005 25849 32010 51698 77547 129245 155094 258490 284339 387735 568678 775470 853017 1421695 1706034 2507353 2843390 4265085 5014706 7522059 8530170 12536765 15044118 25073530 27580883 37610295 55161766 75220590 82742649 137904415 165485298 275808830 413713245 827426490