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53343312 = 24311313259
BaseRepresentation
bin1100101101111…
…1010001010000
310201101010021020
43023133101100
5102123441222
65143155440
71215260601
oct313372120
9121333236
1053343312
1128124690
1215a45b80
13b0890b9
147127da8
154a3a65c
hex32df450

53343312 has 80 divisors (see below), whose sum is σ = 155228160. Its totient is φ = 15638400.

The previous prime is 53343289. The next prime is 53343313. The reversal of 53343312 is 21334335.

It is a happy number.

53343312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53343313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14739 + ... + 17997.

It is an arithmetic number, because the mean of its divisors is an integer number (1940352).

Almost surely, 253343312 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 53343312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77614080).

53343312 is an abundant number, since it is smaller than the sum of its proper divisors (101884848).

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

53343312 is a wasteful number, since it uses less digits than its factorization.

53343312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 3306 counting only the distinct ones).

The product of its digits is 3240, while the sum is 24.

The square root of 53343312 is about 7303.6505940523. The cubic root of 53343312 is about 376.4378858006.

Adding to 53343312 its reverse (21334335), we get a palindrome (74677647).

It can be divided in two parts, 5334 and 3312, that added together give a triangular number (8646 = T131).

The spelling of 53343312 in words is "fifty-three million, three hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 2046 2728 3259 4092 5456 6518 8184 9777 13036 16368 19554 26072 35849 39108 52144 71698 78216 101029 107547 143396 156432 202058 215094 286792 303087 404116 430188 573584 606174 808232 860376 1111319 1212348 1616464 1720752 2222638 2424696 3333957 4445276 4849392 6667914 8890552 13335828 17781104 26671656 53343312