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1026650052 = 2234101137229
BaseRepresentation
bin111101001100010…
…110111111000100
32122112211020010000
4331030112333010
54100310300202
6245512401300
734304244561
oct7514267704
92575736100
101026650052
1148757641a
122479a6230
1313490b44c
149a4c7868
15601e791c
hex3d316fc4

1026650052 has 120 divisors (see below), whose sum is σ = 2742145560. Its totient is φ = 334886400.

The previous prime is 1026650039. The next prime is 1026650089. The reversal of 1026650052 is 2500566201.

1026650052 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 650 + 0 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 717382656 + 309267396 = 26784^2 + 17586^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1026649998 and 1026650025.

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 39 ways as a sum of consecutive naturals, for example, 4483074 + ... + 4483302.

It is an arithmetic number, because the mean of its divisors is an integer number (22851213).

Almost surely, 21026650052 is an apocalyptic number.

1026650052 is a gapful number since it is divisible by the number (12) 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 1026650052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371072780).

1026650052 is an abundant number, since it is smaller than the sum of its proper divisors (1715495508).

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

1026650052 is a wasteful number, since it uses less digits than its factorization.

1026650052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1026650052 is about 32041.3803073463. The cubic root of 1026650052 is about 1008.8055847537.

The spelling of 1026650052 in words is "one billion, twenty-six million, six hundred fifty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 137 162 202 229 274 303 324 404 411 458 548 606 687 822 909 916 1212 1233 1374 1644 1818 2061 2466 2727 2748 3636 3699 4122 4932 5454 6183 7398 8181 8244 10908 11097 12366 13837 14796 16362 18549 22194 23129 24732 27674 31373 32724 37098 41511 44388 46258 55348 62746 69387 74196 83022 92516 94119 124533 125492 138774 166044 188238 208161 249066 277548 282357 373599 376476 416322 498132 564714 624483 747198 832644 847071 1120797 1129428 1248966 1494396 1694142 1873449 2241594 2497932 2541213 3168673 3388284 3746898 4483188 5082426 6337346 7493796 9506019 10164852 12674692 19012038 28518057 38024076 57036114 85554171 114072228 171108342 256662513 342216684 513325026 1026650052