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55257354 = 23229372861
BaseRepresentation
bin1101001011001…
…0100100001010
310211222100211200
43102302210022
5103121213404
65252205030
71240452105
oct322624412
9124870750
1055257354
1129211739
1216609776
13b5a9379
1474a573c
154cb7839
hex34b290a

55257354 has 48 divisors (see below), whose sum is σ = 127244520. Its totient is φ = 17297280.

The previous prime is 55257353. The next prime is 55257359. The reversal of 55257354 is 45375255.

55257354 is a `hidden beast` number, since 55 + 257 + 354 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54420129 + 837225 = 7377^2 + 915^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (55257353) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17884 + ... + 20744.

Almost surely, 255257354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55257354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63622260).

55257354 is an abundant number, since it is smaller than the sum of its proper divisors (71987166).

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

55257354 is a wasteful number, since it uses less digits than its factorization.

55257354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2932 counting only the distinct ones).

The product of its digits is 105000, while the sum is 36.

The square root of 55257354 is about 7433.5290407720. The cubic root of 55257354 is about 380.8874778801.

It can be divided in two parts, 55257 and 354, that added together give a triangular number (55611 = T333).

The spelling of 55257354 in words is "fifty-five million, two hundred fifty-seven thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 29 37 58 74 87 111 174 222 261 333 522 666 1073 2146 2861 3219 5722 6438 8583 9657 17166 19314 25749 51498 82969 105857 165938 211714 248907 317571 497814 635142 746721 952713 1493442 1905426 3069853 6139706 9209559 18419118 27628677 55257354