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52021312 = 267151769
BaseRepresentation
bin1100011001110…
…0100001000000
310121212221211021
43012130201000
5101304140222
65054555224
71201113430
oct306344100
9117787737
1052021312
1127401422
1215508b14
13aa15455
146ca22c0
154878ac7
hex319c840

52021312 has 56 divisors (see below), whose sum is σ = 118912640. Its totient is φ = 22118400.

The previous prime is 52021261. The next prime is 52021313. The reversal of 52021312 is 21312025.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (52021313) 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, 67264 + ... + 68032.

It is an arithmetic number, because the mean of its divisors is an integer number (2123440).

Almost surely, 252021312 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 52021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59456320).

52021312 is an abundant number, since it is smaller than the sum of its proper divisors (66891328).

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

52021312 is a wasteful number, since it uses less digits than its factorization.

52021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 52021312 is about 7212.5801208721. The cubic root of 52021312 is about 373.3021005618.

Adding to 52021312 its reverse (21312025), we get a palindrome (73333337).

The spelling of 52021312 in words is "fifty-two million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 151 224 302 448 604 769 1057 1208 1538 2114 2416 3076 4228 4832 5383 6152 8456 9664 10766 12304 16912 21532 24608 33824 43064 49216 67648 86128 116119 172256 232238 344512 464476 812833 928952 1625666 1857904 3251332 3715808 6502664 7431616 13005328 26010656 52021312