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1026087426 = 23571323201
BaseRepresentation
bin111101001010001…
…101101000000010
32122111202122100000
4331022031220002
54100134244201
6245452340430
734266412350
oct7512155002
92574678300
101026087426
11487221741
12247774716
13134772330
149a3bc7d0
1560135d86
hex3d28da02

1026087426 has 96 divisors (see below), whose sum is σ = 2837697408. Its totient is φ = 270604800.

The previous prime is 1026087421. The next prime is 1026087449. The reversal of 1026087426 is 6247806201.

1026087426 is a `hidden beast` number, since 1 + 0 + 2 + 608 + 7 + 42 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1026087421) 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 47 ways as a sum of consecutive naturals, for example, 32626 + ... + 55826.

It is an arithmetic number, because the mean of its divisors is an integer number (29559348).

Almost surely, 21026087426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1026087426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418848704).

1026087426 is an abundant number, since it is smaller than the sum of its proper divisors (1811609982).

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

1026087426 is a wasteful number, since it uses less digits than its factorization.

1026087426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23238 (or 23226 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1026087426 is about 32032.5994262095. The cubic root of 1026087426 is about 1008.6212687954.

The spelling of 1026087426 in words is "one billion, twenty-six million, eighty-seven thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 243 273 351 378 486 546 567 702 819 1053 1134 1638 1701 2106 2457 3159 3402 4914 6318 7371 14742 22113 23201 44226 46402 69603 139206 162407 208809 301613 324814 417618 487221 603226 626427 904839 974442 1252854 1461663 1809678 1879281 2111291 2714517 2923326 3758562 4222582 4384989 5429034 5637843 6333873 8143551 8769978 11275686 12667746 13154967 16287102 19001619 24430653 26309934 38003238 39464901 48861306 57004857 73291959 78929802 114009714 146583918 171014571 342029142 513043713 1026087426