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55789136 = 2413614397
BaseRepresentation
bin1101010011010…
…0011001010000
310212222101022022
43110310121100
5103240223021
65311431012
71245125354
oct324643120
9125871268
1055789136
1129545227
1216825468
13b734430
1475a3464
154d701ab
hex3534650

55789136 has 40 divisors (see below), whose sum is σ = 118341384. Its totient is φ = 25320960.

The previous prime is 55789133. The next prime is 55789157. The reversal of 55789136 is 63198755.

It can be written as a sum of positive squares in 4 ways, for example, as 732736 + 55056400 = 856^2 + 7420^2 .

It is a super-2 number, since 2×557891362 = 6224855391252992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55789133) 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 7 ways as a sum of consecutive naturals, for example, 10490 + ... + 14886.

Almost surely, 255789136 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 55789136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59170692).

55789136 is an abundant number, since it is smaller than the sum of its proper divisors (62552248).

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

55789136 is a wasteful number, since it uses less digits than its factorization.

55789136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479 (or 4473 counting only the distinct ones).

The product of its digits is 226800, while the sum is 44.

The square root of 55789136 is about 7469.2125421627. The cubic root of 55789136 is about 382.1054321883.

The spelling of 55789136 in words is "fifty-five million, seven hundred eighty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 208 244 488 793 976 1586 3172 4397 6344 8794 12688 17588 35176 57161 70352 114322 228644 268217 457288 536434 914576 1072868 2145736 3486821 4291472 6973642 13947284 27894568 55789136