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653841045 = 335112133079
BaseRepresentation
bin100110111110001…
…101001010010101
31200120022120022000
4212332031022111
52314340403140
6144514025513
722126362054
oct4676151225
91616276260
10653841045
11306092500
12162b78299
13a55ca3c0
1462ba039b
153c605a30
hex26f8d295

653841045 has 96 divisors (see below), whose sum is σ = 1376390400. Its totient is φ = 292533120.

The previous prime is 653841011. The next prime is 653841061. The reversal of 653841045 is 540148356.

It is a happy number.

It is not a de Polignac number, because 653841045 - 216 = 653775509 is a prime.

It is a super-2 number, since 2×6538410452 = 855016224253384050, 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 95 ways as a sum of consecutive naturals, for example, 210816 + ... + 213894.

It is an arithmetic number, because the mean of its divisors is an integer number (14337400).

Almost surely, 2653841045 is an apocalyptic number.

653841045 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

653841045 is an abundant number, since it is smaller than the sum of its proper divisors (722549355).

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

653841045 is a wasteful number, since it uses less digits than its factorization.

653841045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 653841045 is about 25570.3157000456. The cubic root of 653841045 is about 867.9420442556.

The spelling of 653841045 in words is "six hundred fifty-three million, eight hundred forty-one thousand, forty-five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 99 117 121 135 143 165 195 297 351 363 429 495 585 605 715 1089 1287 1485 1573 1755 1815 2145 3079 3267 3861 4719 5445 6435 7865 9237 14157 15395 16335 19305 23595 27711 33869 40027 42471 46185 70785 83133 101607 120081 138555 169345 200135 212355 304821 360243 372559 415665 440297 508035 600405 914463 1080729 1117677 1320891 1524105 1801215 1862795 2201485 3353031 3962673 4572315 4843267 5403645 5588385 6604455 10059093 11888019 14529801 16765155 19813365 24216335 43589403 50295465 59440095 72649005 130768209 217947015 653841045