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42121404 = 223313191579
BaseRepresentation
bin1010000010101…
…1100010111100
32221020222201000
42200223202330
541240341104
64102450300
71021011633
oct240534274
987228630
1042121404
112185a486
1212133990
13895a310
14584651a
153a70639
hex282b8bc

42121404 has 96 divisors (see below), whose sum is σ = 123872000. Its totient is φ = 12270528.

The previous prime is 42121399. The next prime is 42121459. The reversal of 42121404 is 40412124.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25887 + ... + 27465.

Almost surely, 242121404 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 42121404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61936000).

42121404 is an abundant number, since it is smaller than the sum of its proper divisors (81750596).

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

42121404 is a wasteful number, since it uses less digits than its factorization.

42121404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1616 counting only the distinct ones).

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

The square root of 42121404 is about 6490.1004614721. The cubic root of 42121404 is about 347.9372657427.

Adding to 42121404 its reverse (40412124), we get a palindrome (82533528).

The spelling of 42121404 in words is "forty-two million, one hundred twenty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 156 171 228 234 247 342 351 468 494 513 684 702 741 988 1026 1404 1482 1579 2052 2223 2964 3158 4446 4737 6316 6669 8892 9474 13338 14211 18948 20527 26676 28422 30001 41054 42633 56844 60002 61581 82108 85266 90003 120004 123162 170532 180006 184743 246324 270009 360012 369486 390013 540018 554229 738972 780026 810027 1080036 1108458 1170039 1560052 1620054 2216916 2340078 3240108 3510117 4680156 7020234 10530351 14040468 21060702 42121404