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42520160 = 255293907
BaseRepresentation
bin1010001000110…
…0111001100000
32222000020200202
42202030321200
541341121120
64115204332
71024262324
oct242147140
988006622
1042520160
1122002031
12122a66a8
138a69977
14590b984
153aed875
hex288ce60

42520160 has 48 divisors (see below), whose sum is σ = 100907856. Its totient is φ = 16931328.

The previous prime is 42520139. The next prime is 42520183. The reversal of 42520160 is 6102524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46427 + ... + 47333.

It is an arithmetic number, because the mean of its divisors is an integer number (2102247).

Almost surely, 242520160 is an apocalyptic number.

42520160 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 42520160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50453928).

42520160 is an abundant number, since it is smaller than the sum of its proper divisors (58387696).

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

42520160 is a wasteful number, since it uses less digits than its factorization.

42520160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 42520160 is about 6520.7484233023. The cubic root of 42520160 is about 349.0317729822.

Adding to 42520160 its reverse (6102524), we get a palindrome (48622684).

The spelling of 42520160 in words is "forty-two million, five hundred twenty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 293 586 907 1172 1465 1814 2344 2930 3628 4535 4688 5860 7256 9070 9376 11720 14512 18140 23440 29024 36280 46880 72560 145120 265751 531502 1063004 1328755 2126008 2657510 4252016 5315020 8504032 10630040 21260080 42520160