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1026882025 = 52132172292
BaseRepresentation
bin111101001101001…
…111100111101001
32122120021000022121
4331031033213221
54100340211100
6245521351241
734306232101
oct7515174751
92576230277
101026882025
11487714734
12247a98521
1313498cc00
149a548201
156024151a
hex3d34f9e9

1026882025 has 81 divisors (see below), whose sum is σ = 1516943181. Its totient is φ = 689095680.

The previous prime is 1026882019. The next prime is 1026882071. The reversal of 1026882025 is 5202886201.

The square root of 1026882025 is 32045.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 40 ways, for example, as 981130329 + 45751696 = 31323^2 + 6764^2 .

It is not a de Polignac number, because 1026882025 - 213 = 1026873833 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 35409711 + ... + 35409739.

Almost surely, 21026882025 is an apocalyptic number.

1026882025 is the 32045-th square number.

1026882025 is the 16023-rd centered octagonal number.

It is an amenable number.

1026882025 is a deficient number, since it is larger than the sum of its proper divisors (490061156).

1026882025 is a wasteful number, since it uses less digits than its factorization.

1026882025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The cubic root of 1026882025 is about 1008.8815593711.

The spelling of 1026882025 in words is "one billion, twenty-six million, eight hundred eighty-two thousand, twenty-five".

Divisors: 1 5 13 17 25 29 65 85 145 169 221 289 325 377 425 493 725 841 845 1105 1445 1885 2465 2873 3757 4205 4225 4901 5525 6409 7225 8381 9425 10933 12325 14297 14365 18785 21025 24505 32045 41905 48841 54665 71485 71825 83317 93925 108953 122525 142129 160225 185861 209525 243049 244205 273325 357425 416585 544765 710645 929305 1215245 1221025 1416389 2082925 2416193 2723825 3159637 3553225 4646525 6076225 7081945 12080965 15798185 35409725 41075281 60404825 78990925 205376405 1026882025