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42507104 = 2519151463
BaseRepresentation
bin1010001000100…
…1101101100000
32221222120210012
42202021231200
541340211404
64115024052
71024206263
oct242115540
987876705
1042507104
1121aa3242
121229b028
138a63a43
145906cda
153ae9a6e
hex2889b60

42507104 has 48 divisors (see below), whose sum is σ = 88865280. Its totient is φ = 19958400.

The previous prime is 42507083. The next prime is 42507109. The reversal of 42507104 is 40170524.

It is a self number, because there is not a number n which added to its sum of digits gives 42507104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42507109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91577 + ... + 92039.

It is an arithmetic number, because the mean of its divisors is an integer number (1851360).

Almost surely, 242507104 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 42507104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44432640).

42507104 is an abundant number, since it is smaller than the sum of its proper divisors (46358176).

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

42507104 is a wasteful number, since it uses less digits than its factorization.

42507104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 42507104 is about 6519.7472343642. The cubic root of 42507104 is about 348.9960454173.

Adding to 42507104 its reverse (40170524), we get a palindrome (82677628).

The spelling of 42507104 in words is "forty-two million, five hundred seven thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 76 151 152 302 304 463 604 608 926 1208 1852 2416 2869 3704 4832 5738 7408 8797 11476 14816 17594 22952 35188 45904 69913 70376 91808 139826 140752 279652 281504 559304 1118608 1328347 2237216 2656694 5313388 10626776 21253552 42507104