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42052960 = 255433607
BaseRepresentation
bin1010000001101…
…0110101100000
32221010111211001
42200122311200
541231143320
64101201344
71020305245
oct240326540
987114731
1042052960
1121813014
1212100254
138935111
1458295cc
153a5a20a
hex281ad60

42052960 has 48 divisors (see below), whose sum is σ = 99743616. Its totient is φ = 16754688.

The previous prime is 42052949. The next prime is 42052961. The reversal of 42052960 is 6925024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42052961) 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, 68977 + ... + 69583.

It is an arithmetic number, because the mean of its divisors is an integer number (2077992).

Almost surely, 242052960 is an apocalyptic number.

42052960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42052960 is an abundant number, since it is smaller than the sum of its proper divisors (57690656).

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

42052960 is a wasteful number, since it uses less digits than its factorization.

42052960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 42052960 is about 6484.8253638784. The cubic root of 42052960 is about 347.7487065909.

Adding to 42052960 its reverse (6925024), we get a palindrome (48977984).

The spelling of 42052960 in words is "forty-two million, fifty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 433 607 866 1214 1732 2165 2428 3035 3464 4330 4856 6070 6928 8660 9712 12140 13856 17320 19424 24280 34640 48560 69280 97120 262831 525662 1051324 1314155 2102648 2628310 4205296 5256620 8410592 10513240 21026480 42052960