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42552320 = 21058311
BaseRepresentation
bin1010001001010…
…0110000000000
32222001212210212
42202110300000
541343133240
64120013252
71024455146
oct242246000
988055725
1042552320
1122024208
1212301228
138a7b4b5
145919596
153b08165
hex2894c00

42552320 has 44 divisors (see below), whose sum is σ = 102087984. Its totient is φ = 17018880.

The previous prime is 42552313. The next prime is 42552329. The reversal of 42552320 is 2325524.

It is not an unprimeable number, because it can be changed into a prime (42552329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 965 + ... + 9275.

Almost surely, 242552320 is an apocalyptic number.

42552320 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 42552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51043992).

42552320 is an abundant number, since it is smaller than the sum of its proper divisors (59535664).

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

42552320 is an equidigital number, since it uses as much as digits as its factorization.

42552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8336 (or 8318 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 42552320 is about 6523.2139317977. The cubic root of 42552320 is about 349.1197471968.

Adding to 42552320 its reverse (2325524), we get a palindrome (44877844).

The spelling of 42552320 in words is "forty-two million, five hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 8311 16622 33244 41555 66488 83110 132976 166220 265952 332440 531904 664880 1063808 1329760 2127616 2659520 4255232 5319040 8510464 10638080 21276160 42552320