Search a number
-
+
1064417445 = 325721371523
BaseRepresentation
bin111111011100011…
…011100010100101
32202011220000020100
4333130123202211
54134442324240
6253342054313
735243253600
oct7734334245
92664800210
101064417445
114a6921643
1225857a399
1313c6a2a10
14a1519337
15636a7e30
hex3f71b8a5

1064417445 has 144 divisors (see below), whose sum is σ = 2348341632. Its totient is φ = 441987840.

The previous prime is 1064417429. The next prime is 1064417467. The reversal of 1064417445 is 5447144601.

It is a happy number.

1064417445 is a `hidden beast` number, since 1 + 0 + 644 + 1 + 7 + 4 + 4 + 5 = 666.

It is not a de Polignac number, because 1064417445 - 24 = 1064417429 is a prime.

It is a super-2 number, since 2×10644174452 = 2265968994440656050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2034954 + ... + 2035476.

It is an arithmetic number, because the mean of its divisors is an integer number (16307928).

Almost surely, 21064417445 is an apocalyptic number.

1064417445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1064417445 is an abundant number, since it is smaller than the sum of its proper divisors (1283924187).

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

1064417445 is a wasteful number, since it uses less digits than its factorization.

1064417445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1064417445 is about 32625.4110318935. The cubic root of 1064417445 is about 1021.0272379052.

The spelling of 1064417445 in words is "one billion, sixty-four million, four hundred seventeen thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 71 91 105 117 147 195 213 245 273 315 355 441 455 497 523 585 637 639 735 819 923 1065 1365 1491 1569 1911 2205 2485 2615 2769 3185 3195 3479 3661 4095 4473 4615 4707 5733 6461 6799 7455 7845 8307 9555 10437 10983 13845 17395 18305 19383 20397 22365 23535 25627 28665 31311 32305 32949 33995 37133 41535 45227 47593 52185 54915 58149 61191 76881 96915 101985 111399 128135 135681 142779 156555 164745 185665 226135 230643 237965 259931 290745 305955 333151 334197 384405 407043 428337 482729 556995 678405 713895 779793 999453 1153215 1299655 1448187 1665755 1670985 1819517 2035215 2141685 2339379 2413645 2998359 3379103 3898965 4344561 4997265 5458551 7240935 9097585 10137309 11696895 14991795 16375653 16895515 21722805 23653721 27292755 30411927 50686545 70961163 81878265 118268605 152059635 212883489 354805815 1064417445