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42491904 = 213371319
BaseRepresentation
bin1010001000011…
…0000000000000
32221221210221020
42202012000000
541334220104
64114425440
71024114050
oct242060000
987853836
1042491904
1121a92884
1212292280
138a59b50
145901560
153ae52d9
hex2886000

42491904 has 224 divisors, whose sum is σ = 146791680. Its totient is φ = 10616832.

The previous prime is 42491899. The next prime is 42491909. The reversal of 42491904 is 40919424.

It is an interprime number because it is at equal distance from previous prime (42491899) and next prime (42491909).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42491909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2236407 + ... + 2236425.

It is an arithmetic number, because the mean of its divisors is an integer number (655320).

Almost surely, 242491904 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 42491904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73395840).

42491904 is an abundant number, since it is smaller than the sum of its proper divisors (104299776).

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

42491904 is a wasteful number, since it uses less digits than its factorization.

42491904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 42491904 is about 6518.5814407738. The cubic root of 42491904 is about 348.9544416082.

The spelling of 42491904 in words is "forty-two million, four hundred ninety-one thousand, nine hundred four".