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42401112 = 23313373673
BaseRepresentation
bin1010000110111…
…1110101011000
32221210012101120
42201233311120
541323313422
64112445240
71023255255
oct241576530
987705346
1042401112
1121a30646
1212249820
138a27720
1458ba42c
153ac845c
hex286fd58

42401112 has 64 divisors (see below), whose sum is σ = 117274080. Its totient is φ = 12690432.

The previous prime is 42401081. The next prime is 42401119. The reversal of 42401112 is 21110424.

It is a junction number, because it is equal to n+sod(n) for n = 42401091 and 42401100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42401119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9708 + ... + 13380.

Almost surely, 242401112 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 42401112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58637040).

42401112 is an abundant number, since it is smaller than the sum of its proper divisors (74872968).

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

42401112 is a wasteful number, since it uses less digits than its factorization.

42401112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 42401112 is about 6511.6136249013. The cubic root of 42401112 is about 348.7057286335.

Adding to 42401112 its reverse (21110424), we get a palindrome (63511536).

The spelling of 42401112 in words is "forty-two million, four hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 962 1443 1924 2886 3673 3848 5772 7346 11019 11544 14692 22038 29384 44076 47749 88152 95498 135901 143247 190996 271802 286494 381992 407703 543604 572988 815406 1087208 1145976 1630812 1766713 3261624 3533426 5300139 7066852 10600278 14133704 21200556 42401112