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42524730 = 2335295431
BaseRepresentation
bin1010001000111…
…0000000111010
32222000110222000
42202032000322
541341242410
64115241430
71024311543
oct242160072
988013860
1042524730
1122005506
12122a9276
138a6ba81
14590d4ca
153aeedc0
hex288e03a

42524730 has 64 divisors (see below), whose sum is σ = 117331200. Its totient is φ = 10946880.

The previous prime is 42524693. The next prime is 42524743. The reversal of 42524730 is 3742524.

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

It is a junction number, because it is equal to n+sod(n) for n = 42524694 and 42524703.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5115 + ... + 10545.

It is an arithmetic number, because the mean of its divisors is an integer number (1833300).

Almost surely, 242524730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42524730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58665600).

42524730 is an abundant number, since it is smaller than the sum of its proper divisors (74806470).

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

42524730 is a wasteful number, since it uses less digits than its factorization.

42524730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5476 (or 5470 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 42524730 is about 6521.0988337856. The cubic root of 42524730 is about 349.0442769964.

The spelling of 42524730 in words is "forty-two million, five hundred twenty-four thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 2610 3915 5431 7830 10862 16293 27155 32586 48879 54310 81465 97758 146637 157499 162930 244395 293274 314998 472497 488790 733185 787495 944994 1417491 1466370 1574990 2362485 2834982 4252473 4724970 7087455 8504946 14174910 21262365 42524730