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42050560 = 210543191
BaseRepresentation
bin1010000001101…
…0010000000000
32221010101112011
42200122100000
541231104220
64101142304
71020265246
oct240322000
987111464
1042050560
1121811232
12120ba994
138933cb6
145828796
153a5965a
hex281a400

42050560 has 88 divisors (see below), whose sum is σ = 103758336. Its totient is φ = 16343040.

The previous prime is 42050521. The next prime is 42050563. The reversal of 42050560 is 6505024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42050563) 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, 220065 + ... + 220255.

It is an arithmetic number, because the mean of its divisors is an integer number (1179072).

Almost surely, 242050560 is an apocalyptic number.

42050560 is a gapful number since it is divisible by the number (40) 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 42050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51879168).

42050560 is an abundant number, since it is smaller than the sum of its proper divisors (61707776).

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

42050560 is a wasteful number, since it uses less digits than its factorization.

42050560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 42050560 is about 6484.6403138493. The cubic root of 42050560 is about 347.7420910219.

Adding to 42050560 its reverse (6505024), we get a palindrome (48555584).

The spelling of 42050560 in words is "forty-two million, fifty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 191 215 256 320 344 382 430 512 640 688 764 860 955 1024 1280 1376 1528 1720 1910 2560 2752 3056 3440 3820 5120 5504 6112 6880 7640 8213 11008 12224 13760 15280 16426 22016 24448 27520 30560 32852 41065 44032 48896 55040 61120 65704 82130 97792 110080 122240 131408 164260 195584 220160 244480 262816 328520 488960 525632 657040 977920 1051264 1314080 2102528 2628160 4205056 5256320 8410112 10512640 21025280 42050560