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53983232 = 21143613
BaseRepresentation
bin1100110111101…
…1100000000000
310202120122001222
43031323200000
5102304430412
65205014212
71223564342
oct315734000
9122518058
1053983232
1128521446
12160b4368
13b251454
147253292
154b15072
hex337b800

53983232 has 48 divisors (see below), whose sum is σ = 110630520. Its totient is φ = 26320896.

The previous prime is 53983219. The next prime is 53983247. The reversal of 53983232 is 23238935.

It is a junction number, because it is equal to n+sod(n) for n = 53983192 and 53983201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87758 + ... + 88370.

Almost surely, 253983232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53983232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55315260).

53983232 is an abundant number, since it is smaller than the sum of its proper divisors (56647288).

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

53983232 is an equidigital number, since it uses as much as digits as its factorization.

53983232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 658 counting only the distinct ones).

The product of its digits is 38880, while the sum is 35.

The square root of 53983232 is about 7347.3282218777. The cubic root of 53983232 is about 377.9371880365.

The spelling of 53983232 in words is "fifty-three million, nine hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 613 688 1024 1226 1376 2048 2452 2752 4904 5504 9808 11008 19616 22016 26359 39232 44032 52718 78464 88064 105436 156928 210872 313856 421744 627712 843488 1255424 1686976 3373952 6747904 13495808 26991616 53983232