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42121104 = 24317411259
BaseRepresentation
bin1010000010101…
…1011110010000
32221020222021220
42200223132100
541240333404
64102445040
71021011024
oct240533620
987228256
1042121104
112185a233
1212133780
13895a13c
145846384
153a704d9
hex282b790

42121104 has 80 divisors (see below), whose sum is σ = 118117440. Its totient is φ = 12881920.

The previous prime is 42121099. The next prime is 42121147. The reversal of 42121104 is 40112124.

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 15 ways as a sum of consecutive naturals, for example, 32827 + ... + 34085.

It is an arithmetic number, because the mean of its divisors is an integer number (1476468).

Almost surely, 242121104 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 42121104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59058720).

42121104 is an abundant number, since it is smaller than the sum of its proper divisors (75996336).

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

42121104 is a wasteful number, since it uses less digits than its factorization.

42121104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1322 counting only the distinct ones).

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

The square root of 42121104 is about 6490.0773493079. The cubic root of 42121104 is about 347.9364397063.

Adding to 42121104 its reverse (40112124), we get a palindrome (82233228).

The spelling of 42121104 in words is "forty-two million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 41 48 51 68 82 102 123 136 164 204 246 272 328 408 492 656 697 816 984 1259 1394 1968 2091 2518 2788 3777 4182 5036 5576 7554 8364 10072 11152 15108 16728 20144 21403 30216 33456 42806 51619 60432 64209 85612 103238 128418 154857 171224 206476 256836 309714 342448 412952 513672 619428 825904 877523 1027344 1238856 1755046 2477712 2632569 3510092 5265138 7020184 10530276 14040368 21060552 42121104