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42110424 = 23322359431
BaseRepresentation
bin1010000010100…
…0110111011000
32221020102122100
42200220313120
541240013144
64102323400
71020634626
oct240506730
987212570
1042110424
1121852204
1212129560
138955315
145842516
153a6c269
hex2828dd8

42110424 has 96 divisors (see below), whose sum is σ = 121305600. Its totient is φ = 13168320.

The previous prime is 42110413. The next prime is 42110443. The reversal of 42110424 is 42401124.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42110397 and 42110406.

It is a congruent number.

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, 97489 + ... + 97919.

It is an arithmetic number, because the mean of its divisors is an integer number (1263600).

Almost surely, 242110424 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 42110424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60652800).

42110424 is an abundant number, since it is smaller than the sum of its proper divisors (79195176).

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

42110424 is a wasteful number, since it uses less digits than its factorization.

42110424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42110424 is about 6489.2545026374. The cubic root of 42110424 is about 347.9070302581.

Adding to 42110424 its reverse (42401124), we get a palindrome (84511548).

The spelling of 42110424 in words is "forty-two million, one hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 59 69 72 92 118 138 177 184 207 236 276 354 414 431 472 531 552 708 828 862 1062 1293 1357 1416 1656 1724 2124 2586 2714 3448 3879 4071 4248 5172 5428 7758 8142 9913 10344 10856 12213 15516 16284 19826 24426 25429 29739 31032 32568 39652 48852 50858 59478 76287 79304 89217 97704 101716 118956 152574 178434 203432 228861 237912 305148 356868 457722 584867 610296 713736 915444 1169734 1754601 1830888 2339468 3509202 4678936 5263803 7018404 10527606 14036808 21055212 42110424