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42352821 = 337239743
BaseRepresentation
bin1010000110010…
…0000010110101
32221200202011000
42201210002311
541320242241
64111433513
71022664420
oct241440265
987622130
1042352821
11219a8335
1212225899
138a0b754
1458a69b7
153ab8eb6
hex28640b5

42352821 has 32 divisors (see below), whose sum is σ = 74833920. Its totient is φ = 23146992.

The previous prime is 42352771. The next prime is 42352837. The reversal of 42352821 is 12825324.

It is not a de Polignac number, because 42352821 - 217 = 42221749 is a prime.

It is a super-2 number, since 2×423528212 = 3587522893316082, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42352021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525 + ... + 9218.

It is an arithmetic number, because the mean of its divisors is an integer number (2338560).

Almost surely, 242352821 is an apocalyptic number.

It is an amenable number.

42352821 is a deficient number, since it is larger than the sum of its proper divisors (32481099).

42352821 is a wasteful number, since it uses less digits than its factorization.

42352821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9782 (or 9776 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 42352821 is about 6507.9045014505. The cubic root of 42352821 is about 348.5732970028.

It can be divided in two parts, 4235 and 2821, that added together give a square (7056 = 842).

The spelling of 42352821 in words is "forty-two million, three hundred fifty-two thousand, eight hundred twenty-one".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 621 1449 4347 9743 29229 68201 87687 204603 224089 263061 613809 672267 1568623 1841427 2016801 4705869 6050403 14117607 42352821