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42190100 = 22521073943
BaseRepresentation
bin1010000011110…
…0010100010100
32221101110221022
42200330110110
541300040400
64104140312
71021416131
oct240742424
987343838
1042190100
11218a7057
1212167698
138982674
145863588
153a85b85
hex283c514

42190100 has 36 divisors (see below), whose sum is σ = 92431584. Its totient is φ = 16714080.

The previous prime is 42190097. The next prime is 42190123. The reversal of 42190100 is 109124.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8729 + ... + 12671.

It is an arithmetic number, because the mean of its divisors is an integer number (2567544).

Almost surely, 242190100 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 42190100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46215792).

42190100 is an abundant number, since it is smaller than the sum of its proper divisors (50241484).

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

42190100 is a wasteful number, since it uses less digits than its factorization.

42190100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064 (or 4057 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 42190100 is about 6495.3906733929. The cubic root of 42190100 is about 348.1263138591.

Adding to 42190100 its reverse (109124), we get a palindrome (42299224).

The spelling of 42190100 in words is "forty-two million, one hundred ninety thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 535 1070 2140 2675 3943 5350 7886 10700 15772 19715 39430 78860 98575 197150 394300 421901 843802 1687604 2109505 4219010 8438020 10547525 21095050 42190100