Search a number
-
+
893885157025 = 52741722272
BaseRepresentation
bin11010000000111111011…
…01010000111010100001
310011110021101121212121121
431000133231100322201
5104121134100011100
61522351205052241
7121403210320000
oct15003755207241
93143241555547
10893885157025
1131510495a863
121252a83b7081
13663a6980823
143139b240c37
15183ba7ab51a
hexd01fb50ea1

893885157025 has 135 divisors (see below), whose sum is σ = 1379692404569. Its totient is φ = 574352567040.

The previous prime is 893885157007. The next prime is 893885157029. The reversal of 893885157025 is 520751588398.

The square root of 893885157025 is 945455.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20908870801 + 872976286224 = 144599^2 + 934332^2 .

It is not a de Polignac number, because 893885157025 - 29 = 893885156513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (893885157029) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 3937819962 + ... + 3937820188.

Almost surely, 2893885157025 is an apocalyptic number.

893885157025 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

893885157025 is the 945455-th square number.

893885157025 is the 472728-th centered octagonal number.

It is an amenable number.

893885157025 is a deficient number, since it is larger than the sum of its proper divisors (485807247544).

893885157025 is an frugal number, since it uses more digits than its factorization.

893885157025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 61.

The spelling of 893885157025 in words is "eight hundred ninety-three billion, eight hundred eighty-five million, one hundred fifty-seven thousand, twenty-five".

Divisors: 1 5 7 17 25 35 49 85 119 175 227 245 289 343 425 595 833 1135 1225 1445 1589 1715 2023 2401 2975 3859 4165 5675 5831 7225 7945 8575 10115 11123 12005 14161 19295 20825 27013 29155 39725 40817 50575 51529 55615 60025 65603 70805 77861 96475 99127 135065 145775 189091 204085 257645 278075 328015 354025 360703 389305 459221 495635 545027 675325 693889 875993 945455 1020425 1288225 1323637 1640075 1803515 1946525 2296105 2478175 2524921 2725135 3214547 3469445 4379965 4727275 6131951 6618185 9017575 9265459 11480525 12624605 13625675 14891881 16072735 17347225 17674447 21899825 22501829 30659755 33090925 42923657 46327295 63123025 74459405 80363675 88372235 104243167 112509145 123721129 153298775 157512803 214618285 231636475 300465599 372297025 441861175 521215835 562545725 618605645 729702169 787564015 1073091425 1502327995 2103259193 2606079175 3093028225 3648510845 3937820075 5107915183 7511639975 10516295965 18242554225 25539575915 35755406281 52581479825 127697879575 178777031405 893885157025