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60552 = 2332292
BaseRepresentation
bin1110110010001000
310002001200
432302020
53414202
61144200
7341352
oct166210
9102050
1060552
1141548
122b060
132173b
14180d2
1512e1c
hexec88

60552 has 36 divisors (see below), whose sum is σ = 169845. Its totient is φ = 19488.

The previous prime is 60539. The next prime is 60589. The reversal of 60552 is 25506.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 60516 + 36 = 246^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=174.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is an unprimeable number.

60552 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2074 + ... + 2102.

260552 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 60552

60552 is an abundant number, since it is smaller than the sum of its proper divisors (109293).

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

60552 is a wasteful number, since it uses less digits than its factorization.

60552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 60552 is about 246.0731598529. The cubic root of 60552 is about 39.2683660514.

Multiplying 60552 by its sum of digits (18), we get a square (1089936 = 10442).

60552 divided by its sum of digits (18) gives a square (3364 = 582).

The spelling of 60552 in words is "sixty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 841 1044 1682 2088 2523 3364 5046 6728 7569 10092 15138 20184 30276 60552