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42524460 = 22335117159
BaseRepresentation
bin1010001000110…
…1111100101100
32222000110121000
42202031330230
541341240320
64115240300
71024311006
oct242157454
988013530
1042524460
1122005290
12122a9090
138a6b904
14590d376
153aeec90
hex288df2c

42524460 has 96 divisors (see below), whose sum is σ = 144345600. Its totient is φ = 10307520.

The previous prime is 42524459. The next prime is 42524473. The reversal of 42524460 is 6442524.

42524460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2361 + ... + 9519.

It is an arithmetic number, because the mean of its divisors is an integer number (1503600).

Almost surely, 242524460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42524460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72172800).

42524460 is an abundant number, since it is smaller than the sum of its proper divisors (101821140).

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

42524460 is a wasteful number, since it uses less digits than its factorization.

42524460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7188 (or 7180 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 42524460 is about 6521.0781317202. The cubic root of 42524460 is about 349.0435382721.

Adding to 42524460 its reverse (6442524), we get a palindrome (48966984).

The spelling of 42524460 in words is "forty-two million, five hundred twenty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 7159 14318 21477 28636 35795 42954 64431 71590 78749 85908 107385 128862 143180 157498 193293 214770 236247 257724 314996 322155 386586 393745 429540 472494 644310 708741 773172 787490 944988 966465 1181235 1288620 1417482 1574980 1932930 2126223 2362470 2834964 3543705 3865860 4252446 4724940 7087410 8504892 10631115 14174820 21262230 42524460