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55357812 = 22325967389
BaseRepresentation
bin1101001100101…
…1000101110100
310212011110122100
43103023011310
5103132422222
65254302100
71241351016
oct323130564
9125143570
1055357812
1129280164
1216657930
13b613003
1474d01b6
154cd74ac
hex34cb174

55357812 has 72 divisors (see below), whose sum is σ = 144799200. Its totient is φ = 17823168.

The previous prime is 55357787. The next prime is 55357823. The reversal of 55357812 is 21875355.

55357812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (42000) is a multiple of the sum of its prime factors (525).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 142114 + ... + 142502.

It is an arithmetic number, because the mean of its divisors is an integer number (2011100).

Almost surely, 255357812 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 55357812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72399600).

55357812 is an abundant number, since it is smaller than the sum of its proper divisors (89441388).

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

55357812 is a wasteful number, since it uses less digits than its factorization.

55357812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 520 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 55357812 is about 7440.2830591316. The cubic root of 55357812 is about 381.1181562565.

It can be divided in two parts, 55357 and 812, that added together give a square (56169 = 2372).

The spelling of 55357812 in words is "fifty-five million, three hundred fifty-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 59 67 118 134 177 201 236 268 354 389 402 531 603 708 778 804 1062 1167 1206 1556 2124 2334 2412 3501 3953 4668 7002 7906 11859 14004 15812 22951 23718 26063 35577 45902 47436 52126 68853 71154 78189 91804 104252 137706 142308 156378 206559 234567 275412 312756 413118 469134 826236 938268 1537717 3075434 4613151 6150868 9226302 13839453 18452604 27678906 55357812