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893939424 = 25371724603
BaseRepresentation
bin110101010010000…
…110111011100000
32022022002211100120
4311102012323200
53312322030144
6224412120240
731103234250
oct6522067340
92268084316
10893939424
11419672a14
1220b466080
13113283c51
1486a1d960
1553730e19
hex35486ee0

893939424 has 144 divisors (see below), whose sum is σ = 2849470848. Its totient is φ = 240334848.

The previous prime is 893939377. The next prime is 893939437. The reversal of 893939424 is 424939398.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191907 + ... + 196509.

It is an arithmetic number, because the mean of its divisors is an integer number (19787992).

Almost surely, 2893939424 is an apocalyptic number.

893939424 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 893939424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424735424).

893939424 is an abundant number, since it is smaller than the sum of its proper divisors (1955531424).

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

893939424 is a wasteful number, since it uses less digits than its factorization.

893939424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4657 (or 4632 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 51.

The square root of 893939424 is about 29898.8197760380. The cubic root of 893939424 is about 963.3173084608.

The spelling of 893939424 in words is "eight hundred ninety-three million, nine hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 289 336 357 408 476 544 578 672 714 816 867 952 1156 1428 1632 1734 1904 2023 2312 2856 3468 3808 4046 4603 4624 5712 6069 6936 8092 9206 9248 11424 12138 13809 13872 16184 18412 24276 27618 27744 32221 32368 36824 48552 55236 64442 64736 73648 78251 96663 97104 110472 128884 147296 156502 193326 194208 220944 234753 257768 313004 386652 441888 469506 515536 547757 626008 773304 939012 1031072 1095514 1252016 1330267 1546608 1643271 1878024 2191028 2504032 2660534 3093216 3286542 3756048 3990801 4382056 5321068 6573084 7512096 7981602 8764112 9311869 10642136 13146168 15963204 17528224 18623738 21284272 26292336 27935607 31926408 37247476 42568544 52584672 55871214 63852816 74494952 111742428 127705632 148989904 223484856 297979808 446969712 893939424