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42563004 = 22311893623
BaseRepresentation
bin1010001001011…
…1010110111100
32222002102110120
42202113112330
541344004004
64120134540
71024531251
oct242272674
988072416
1042563004
1122031240
1212307450
138a83313
14591d428
153b0b3d9
hex28975bc

42563004 has 48 divisors (see below), whose sum is σ = 109589760. Its totient is φ = 12749440.

The previous prime is 42562973. The next prime is 42563011. The reversal of 42563004 is 40036524.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9937 + ... + 13559.

It is an arithmetic number, because the mean of its divisors is an integer number (2283120).

Almost surely, 242563004 is an apocalyptic number.

42563004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42563004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54794880).

42563004 is an abundant number, since it is smaller than the sum of its proper divisors (67026756).

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

42563004 is a wasteful number, since it uses less digits than its factorization.

42563004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 42563004 is about 6524.0328018795. The cubic root of 42563004 is about 349.1489636472.

Adding to 42563004 its reverse (40036524), we get a palindrome (82599528).

It can be divided in two parts, 4256 and 3004, that added together give a triangular number (7260 = T120).

The spelling of 42563004 in words is "forty-two million, five hundred sixty-three thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 132 178 267 356 534 979 1068 1958 2937 3623 3916 5874 7246 10869 11748 14492 21738 39853 43476 79706 119559 159412 239118 322447 478236 644894 967341 1289788 1934682 3546917 3869364 7093834 10640751 14187668 21281502 42563004