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42054544 = 24737997
BaseRepresentation
bin1010000001101…
…1001110010000
32221010120222201
42200123032100
541231221134
64101212544
71020313000
oct240331620
987116881
1042054544
1121814224
1212101154
138935a5c
14582a000
153a5a914
hex281b390

42054544 has 80 divisors (see below), whose sum is σ = 97216000. Its totient is φ = 17611776.

The previous prime is 42054541. The next prime is 42054577. The reversal of 42054544 is 44545024.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42054541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433504 + ... + 433600.

It is an arithmetic number, because the mean of its divisors is an integer number (1215200).

Almost surely, 242054544 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 42054544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48608000).

42054544 is an abundant number, since it is smaller than the sum of its proper divisors (55161456).

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

42054544 is an equidigital number, since it uses as much as digits as its factorization.

42054544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The square root of 42054544 is about 6484.9474940049. The cubic root of 42054544 is about 347.7530727286.

Adding to 42054544 its reverse (44545024), we get a palindrome (86599568).

The spelling of 42054544 in words is "forty-two million, fifty-four thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 79 97 98 112 158 194 196 316 343 388 392 553 632 679 686 776 784 1106 1264 1358 1372 1552 2212 2716 2744 3871 4424 4753 5432 5488 7663 7742 8848 9506 10864 15326 15484 19012 27097 30652 30968 33271 38024 53641 54194 61304 61936 66542 76048 107282 108388 122608 133084 214564 216776 266168 375487 429128 433552 532336 750974 858256 1501948 2628409 3003896 5256818 6007792 10513636 21027272 42054544