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42003100 = 22521492819
BaseRepresentation
bin1010000000111…
…0101010011100
32221000222102101
42200032222130
541223044400
64100134444
71020010006
oct240165234
987028371
1042003100
1121789607
1212097424
138918509
145815376
153a4a56a
hex280ea9c

42003100 has 36 divisors (see below), whose sum is σ = 91791000. Its totient is φ = 16682560.

The previous prime is 42003097. The next prime is 42003119. The reversal of 42003100 is 130024.

It is a super-2 number, since 2×420031002 = 3528520819220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 11 ways as a sum of consecutive naturals, for example, 13491 + ... + 16309.

It is an arithmetic number, because the mean of its divisors is an integer number (2549750).

Almost surely, 242003100 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 42003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45895500).

42003100 is an abundant number, since it is smaller than the sum of its proper divisors (49787900).

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

42003100 is a wasteful number, since it uses less digits than its factorization.

42003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 42003100 is about 6480.9798641872. The cubic root of 42003100 is about 347.6112164073.

Adding to 42003100 its reverse (130024), we get a palindrome (42133124).

The spelling of 42003100 in words is "forty-two million, three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 596 745 1490 2819 2980 3725 5638 7450 11276 14095 14900 28190 56380 70475 140950 281900 420031 840062 1680124 2100155 4200310 8400620 10500775 21001550 42003100