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42311024 = 2471959337
BaseRepresentation
bin1010000101100…
…1110101110000
32221121121210222
42201121311300
541312423044
64110512212
71022431520
oct241316560
987547728
1042311024
1121979998
1212205668
1389c5712
145895680
153aab8ee
hex2859d70

42311024 has 80 divisors (see below), whose sum is σ = 100588800. Its totient is φ = 16837632.

The previous prime is 42310999. The next prime is 42311033. The reversal of 42311024 is 42011324.

It is a junction number, because it is equal to n+sod(n) for n = 42310993 and 42311011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125384 + ... + 125720.

It is an arithmetic number, because the mean of its divisors is an integer number (1257360).

Almost surely, 242311024 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 42311024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50294400).

42311024 is an abundant number, since it is smaller than the sum of its proper divisors (58277776).

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

42311024 is a wasteful number, since it uses less digits than its factorization.

42311024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 42311024 is about 6504.6924600630. The cubic root of 42311024 is about 348.4585930068.

Adding to 42311024 its reverse (42011324), we get a palindrome (84322348).

The spelling of 42311024 in words is "forty-two million, three hundred eleven thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 59 76 112 118 133 152 236 266 304 337 413 472 532 674 826 944 1064 1121 1348 1652 2128 2242 2359 2696 3304 4484 4718 5392 6403 6608 7847 8968 9436 12806 15694 17936 18872 19883 25612 31388 37744 39766 44821 51224 62776 79532 89642 102448 125552 139181 159064 179284 278362 318128 358568 377777 556724 717136 755554 1113448 1511108 2226896 2644439 3022216 5288878 6044432 10577756 21155512 42311024