Search a number
-
+
1026252045 = 33571383537
BaseRepresentation
bin111101001010110…
…101110100001101
32122112002000011000
4331022311310031
54100210031140
6245500050513
734300666320
oct7512656415
92575060130
101026252045
11487324395
12247833a39
131347cc240
149a4227b7
1560169a30
hex3d2b5d0d

1026252045 has 64 divisors (see below), whose sum is σ = 2245501440. Its totient is φ = 433050624.

The previous prime is 1026252041. The next prime is 1026252049. The reversal of 1026252045 is 5402526201.

1026252045 is a `hidden beast` number, since 10 + 2 + 625 + 20 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1026252041) and next prime (1026252049).

It is not a de Polignac number, because 1026252045 - 22 = 1026252041 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026252041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 29484 + ... + 54053.

It is an arithmetic number, because the mean of its divisors is an integer number (35085960).

Almost surely, 21026252045 is an apocalyptic number.

1026252045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1026252045 is an abundant number, since it is smaller than the sum of its proper divisors (1219249395).

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

1026252045 is a wasteful number, since it uses less digits than its factorization.

1026252045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83571 (or 83565 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1026252045 is about 32035.1688773448. The cubic root of 1026252045 is about 1008.6752048577.

Adding to 1026252045 its reverse (5402526201), we get a palindrome (6428778246).

The spelling of 1026252045 in words is "one billion, twenty-six million, two hundred fifty-two thousand, forty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 273 315 351 455 585 819 945 1365 1755 2457 4095 12285 83537 250611 417685 584759 751833 1085981 1253055 1754277 2255499 2923795 3257943 3759165 5262831 5429905 7601867 8771385 9773829 11277495 15788493 16289715 22805601 26314155 29321487 38009335 48869145 68416803 78942465 114028005 146607435 205250409 342084015 1026252045