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55287882 = 23213349677
BaseRepresentation
bin1101001011101…
…0000001001010
310212000220201100
43102322001022
5103123203012
65253002230
71240640106
oct322720112
9125026640
1055287882
1129232671
1216623376
13b5ba230
1474b2906
154cc18dc
hex34ba04a

55287882 has 48 divisors (see below), whose sum is σ = 129565800. Its totient is φ = 16937856.

The previous prime is 55287847. The next prime is 55287887. The reversal of 55287882 is 28878255.

It can be written as a sum of positive squares in 4 ways, for example, as 54597321 + 690561 = 7389^2 + 831^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (55287887) 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, 81328 + ... + 82004.

Almost surely, 255287882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55287882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64782900).

55287882 is an abundant number, since it is smaller than the sum of its proper divisors (74277918).

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

55287882 is a wasteful number, since it uses less digits than its factorization.

55287882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1044 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The square root of 55287882 is about 7435.5821560924. The cubic root of 55287882 is about 380.9576078653.

It can be divided in two parts, 55287 and 882, that added together give a square (56169 = 2372).

The spelling of 55287882 in words is "fifty-five million, two hundred eighty-seven thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 349 677 698 1047 1354 2031 2094 3141 4062 4537 6093 6282 8801 9074 12186 13611 17602 26403 27222 40833 52806 79209 81666 158418 236273 472546 708819 1417638 2126457 3071549 4252914 6143098 9214647 18429294 27643941 55287882