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42494454 = 23229127641
BaseRepresentation
bin1010001000011…
…0100111110110
32221221221102200
42202012213312
541334310304
64114445330
71024124352
oct242064766
987857380
1042494454
1121a94792
1212293846
138a5b062
145902462
153ae5e39
hex28869f6

42494454 has 48 divisors (see below), whose sum is σ = 96145920. Its totient is φ = 13547520.

The previous prime is 42494453. The next prime is 42494467. The reversal of 42494454 is 45449424.

It is a happy number.

42494454 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42494453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65974 + ... + 66614.

It is an arithmetic number, because the mean of its divisors is an integer number (2003040).

Almost surely, 242494454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42494454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48072960).

42494454 is an abundant number, since it is smaller than the sum of its proper divisors (53651466).

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

42494454 is a wasteful number, since it uses less digits than its factorization.

42494454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 802 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 42494454 is about 6518.7770325422. Note that the first 3 decimals coincide. The cubic root of 42494454 is about 348.9614218872.

The spelling of 42494454 in words is "forty-two million, four hundred ninety-four thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 29 58 87 127 174 254 261 381 522 641 762 1143 1282 1923 2286 3683 3846 5769 7366 11049 11538 18589 22098 33147 37178 55767 66294 81407 111534 162814 167301 244221 334602 488442 732663 1465326 2360803 4721606 7082409 14164818 21247227 42494454