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57469962 = 231117223131
BaseRepresentation
bin1101101100111…
…0110000001010
311000010202222010
43123032300022
5104203014322
65411440350
71265325624
oct333166012
9130122863
1057469962
112a493040
12172b60b6
13bba24c4
1478bdc14
1550a320c
hex36cec0a

57469962 has 96 divisors (see below), whose sum is σ = 140050944. Its totient is φ = 15558400.

The previous prime is 57469949. The next prime is 57469969. The reversal of 57469962 is 26996475.

57469962 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57469969) 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 47 ways as a sum of consecutive naturals, for example, 438637 + ... + 438767.

It is an arithmetic number, because the mean of its divisors is an integer number (1458864).

Almost surely, 257469962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57469962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70025472).

57469962 is an abundant number, since it is smaller than the sum of its proper divisors (82580982).

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

57469962 is a wasteful number, since it uses less digits than its factorization.

57469962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 187 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The square root of 57469962 is about 7580.8945382455. The cubic root of 57469962 is about 385.9049091472.

The spelling of 57469962 in words is "fifty-seven million, four hundred sixty-nine thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 11 17 22 23 33 34 46 51 66 69 102 131 138 187 253 262 289 374 391 393 506 561 578 759 782 786 867 1122 1173 1441 1518 1734 2227 2346 2882 3013 3179 4301 4323 4454 6026 6358 6647 6681 8602 8646 9039 9537 12903 13294 13362 18078 19074 19941 24497 25806 33143 37859 39882 48994 51221 66286 73117 73491 75718 99429 102442 113577 146234 146982 153663 198858 219351 227154 307326 416449 438702 563431 832898 870757 1126862 1249347 1690293 1741514 2498694 2612271 3380586 5224542 9578327 19156654 28734981 57469962