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42463746 = 23213199551
BaseRepresentation
bin1010000111111…
…1001000000010
32221220101022100
42201333020002
541332314441
64114051230
71023636003
oct241771002
987811270
1042463746
1121a73706
1212279b16
138a4a0a0
1458d51aa
153adbcb6
hex287f202

42463746 has 48 divisors (see below), whose sum is σ = 104307840. Its totient is φ = 12376800.

The previous prime is 42463723. The next prime is 42463777. The reversal of 42463746 is 64736424.

It is a self number, because there is not a number n which added to its sum of digits gives 42463746.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330 + ... + 9221.

It is an arithmetic number, because the mean of its divisors is an integer number (2173080).

Almost surely, 242463746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42463746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52153920).

42463746 is an abundant number, since it is smaller than the sum of its proper divisors (61844094).

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

42463746 is a wasteful number, since it uses less digits than its factorization.

42463746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9591 (or 9588 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 42463746 is about 6516.4212571012. The cubic root of 42463746 is about 348.8773443304.

The spelling of 42463746 in words is "forty-two million, four hundred sixty-three thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 4446 9551 19102 28653 57306 85959 124163 171918 181469 248326 362938 372489 544407 744978 1088814 1117467 1633221 2234934 2359097 3266442 4718194 7077291 14154582 21231873 42463746