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728625645 = 335113789149
BaseRepresentation
bin101011011011011…
…111000111101101
31212210001000111000
4223123133013231
52443012010040
6200144550513
724025134006
oct5333370755
91783030430
10728625645
11344321260
12184022439
13b7c52947
146caaa1ad
1543e79130
hex2b6df1ed

728625645 has 128 divisors (see below), whose sum is σ = 1477440000. Its totient is φ = 337582080.

The previous prime is 728625619. The next prime is 728625649. The reversal of 728625645 is 546526827.

728625645 is a `hidden beast` number, since 7 + 2 + 86 + 2 + 564 + 5 = 666.

It is not a de Polignac number, because 728625645 - 214 = 728609261 is a prime.

It is a super-3 number, since 3×7286256453 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (806400) is a multiple of the sum of its prime factors (300).

It is a self number, because there is not a number n which added to its sum of digits gives 728625645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728625649) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4890031 + ... + 4890179.

It is an arithmetic number, because the mean of its divisors is an integer number (11542500).

Almost surely, 2728625645 is an apocalyptic number.

It is an amenable number.

728625645 is an abundant number, since it is smaller than the sum of its proper divisors (748814355).

728625645 is a wasteful number, since it uses less digits than its factorization.

728625645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 728625645 is about 26993.0666097796. The cubic root of 728625645 is about 899.8459180668.

The spelling of 728625645 in words is "seven hundred twenty-eight million, six hundred twenty-five thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 37 45 55 89 99 111 135 149 165 185 267 297 333 407 445 447 495 555 745 801 979 999 1221 1335 1341 1485 1639 1665 2035 2235 2403 2937 3293 3663 4005 4023 4895 4917 4995 5513 6105 6705 8195 8811 9879 10989 12015 13261 14685 14751 16465 16539 18315 20115 24585 26433 27565 29637 36223 39783 44055 44253 49395 49617 54945 60643 66305 73755 82695 88911 108669 119349 132165 145871 148185 148851 181115 181929 198915 221265 248085 303215 326007 358047 437613 444555 490657 543345 545787 596745 729355 744255 909645 978021 1312839 1471971 1630035 1637361 1790235 2188065 2453285 2728935 3938517 4415913 4890105 5397227 6564195 7359855 8186805 13247739 16191681 19692585 22079565 26986135 48575043 66238695 80958405 145725129 242875215 728625645