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42508312 = 23711151457
BaseRepresentation
bin1010001000101…
…0000000011000
32221222122102221
42202022000120
541340231222
64115033424
71024212640
oct242120030
987878387
1042508312
1121aa4140
121229b874
138a64462
145907520
153aea0c7
hex288a018

42508312 has 64 divisors (see below), whose sum is σ = 100247040. Its totient is φ = 16416000.

The previous prime is 42508309. The next prime is 42508327. The reversal of 42508312 is 21380524.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92788 + ... + 93244.

It is an arithmetic number, because the mean of its divisors is an integer number (1566360).

Almost surely, 242508312 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 42508312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50123520).

42508312 is an abundant number, since it is smaller than the sum of its proper divisors (57738728).

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

42508312 is a wasteful number, since it uses less digits than its factorization.

42508312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 42508312 is about 6519.8398753344. The cubic root of 42508312 is about 348.9993513999. Note that the first 3 decimals are identical.

Adding to 42508312 its reverse (21380524), we get a palindrome (63888836).

The spelling of 42508312 in words is "forty-two million, five hundred eight thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 151 154 302 308 457 604 616 914 1057 1208 1661 1828 2114 3199 3322 3656 4228 5027 6398 6644 8456 10054 11627 12796 13288 20108 23254 25592 35189 40216 46508 69007 70378 93016 138014 140756 276028 281512 483049 552056 759077 966098 1518154 1932196 3036308 3864392 5313539 6072616 10627078 21254156 42508312