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55342880 = 2551133061
BaseRepresentation
bin1101001100011…
…1011100100000
310212010201011022
43103013130200
5103131433010
65254105012
71241256335
oct323073440
9125121138
1055342880
112926aa1a
121664b168
13b609288
1474c898c
154cd2d55
hex34c7720

55342880 has 48 divisors (see below), whose sum is σ = 131947704. Its totient is φ = 21934080.

The previous prime is 55342879. The next prime is 55342891. The reversal of 55342880 is 8824355.

It can be written as a sum of positive squares in 4 ways, for example, as 42354064 + 12988816 = 6508^2 + 3604^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 55342880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16550 + ... + 19610.

Almost surely, 255342880 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 55342880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65973852).

55342880 is an abundant number, since it is smaller than the sum of its proper divisors (76604824).

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

55342880 is a wasteful number, since it uses less digits than its factorization.

55342880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189 (or 3181 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 55342880 is about 7439.2795350087. The cubic root of 55342880 is about 381.0838860673.

The spelling of 55342880 in words is "fifty-five million, three hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3061 3616 4520 6122 9040 12244 15305 18080 24488 30610 48976 61220 97952 122440 244880 345893 489760 691786 1383572 1729465 2767144 3458930 5534288 6917860 11068576 13835720 27671440 55342880