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42254100 = 223252719353
BaseRepresentation
bin1010000100101…
…1111100010100
32221111201201200
42201023330110
541304112400
64105352500
71022103540
oct241137424
987451650
1042254100
1121940149
1212198730
1389a5835
14587ca20
153a99b00
hex284bf14

42254100 has 216 divisors, whose sum is σ = 159781440. Its totient is φ = 9123840.

The previous prime is 42254087. The next prime is 42254117. The reversal of 42254100 is 145224.

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 71 ways as a sum of consecutive naturals, for example, 119524 + ... + 119876.

Almost surely, 242254100 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 42254100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79890720).

42254100 is an abundant number, since it is smaller than the sum of its proper divisors (117527340).

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

42254100 is a wasteful number, since it uses less digits than its factorization.

42254100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42254100 is about 6500.3153769644. The cubic root of 42254100 is about 348.3022542471.

Adding to 42254100 its reverse (145224), we get a palindrome (42399324).

The spelling of 42254100 in words is "forty-two million, two hundred fifty-four thousand, one hundred".