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55318128 = 2432389563
BaseRepresentation
bin1101001100000…
…1011001110000
310212002110012120
43103001121300
5103130140003
65253354240
71241124225
oct323013160
9125073176
1055318128
1129253368
1216638980
13b5cac28
1474bd94c
154cca853
hex34c1670

55318128 has 80 divisors (see below), whose sum is σ = 151061760. Its totient is φ = 17408512.

The previous prime is 55318121. The next prime is 55318129. The reversal of 55318128 is 82181355.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55318121) 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 15 ways as a sum of consecutive naturals, for example, 97975 + ... + 98537.

It is an arithmetic number, because the mean of its divisors is an integer number (1888272).

Almost surely, 255318128 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 55318128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75530880).

55318128 is an abundant number, since it is smaller than the sum of its proper divisors (95743632).

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

55318128 is a wasteful number, since it uses less digits than its factorization.

55318128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 680 counting only the distinct ones).

The product of its digits is 9600, while the sum is 33.

The square root of 55318128 is about 7437.6157469985. The cubic root of 55318128 is about 381.0270645760.

It can be divided in two parts, 553 and 18128, that added together give a palindrome (18681).

The spelling of 55318128 in words is "fifty-five million, three hundred eighteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 89 92 138 178 184 267 276 356 368 534 552 563 712 1068 1104 1126 1424 1689 2047 2136 2252 3378 4094 4272 4504 6141 6756 8188 9008 12282 12949 13512 16376 24564 25898 27024 32752 38847 49128 50107 51796 77694 98256 100214 103592 150321 155388 200428 207184 300642 310776 400856 601284 621552 801712 1152461 1202568 2304922 2405136 3457383 4609844 6914766 9219688 13829532 18439376 27659064 55318128