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552123 = 33112132
BaseRepresentation
bin10000110110010111011
31001001101000
42012302323
5120131443
615500043
74456455
oct2066273
91031330
10552123
11347900
12227623
13164400
141052d5
15ad8d3
hex86cbb

552123 has 36 divisors (see below), whose sum is σ = 973560. Its totient is φ = 308880.

The previous prime is 552113. The next prime is 552127. The reversal of 552123 is 321255.

It is a happy number.

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 is not a de Polignac number, because 552123 - 24 = 552107 is a prime.

552123 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 552096 and 552105.

It is not an unprimeable number, because it can be changed into a prime (552127) 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 35 ways as a sum of consecutive naturals, for example, 42465 + ... + 42477.

2552123 is an apocalyptic number.

552123 is a deficient number, since it is larger than the sum of its proper divisors (421437).

552123 is a wasteful number, since it uses less digits than its factorization.

552123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 27 counting only the distinct ones).

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

The square root of 552123 is about 743.0497964470. The cubic root of 552123 is about 82.0374110475.

Multiplying 552123 by its product of digits (300), we get a square (165636900 = 128702).

Adding to 552123 its reverse (321255), we get a palindrome (873378).

It can be divided in two parts, 552 and 123, that multiplied together give a triangular number (67896 = T368).

The spelling of 552123 in words is "five hundred fifty-two thousand, one hundred twenty-three".

Divisors: 1 3 9 11 13 27 33 39 99 117 121 143 169 297 351 363 429 507 1089 1287 1521 1573 1859 3267 3861 4563 4719 5577 14157 16731 20449 42471 50193 61347 184041 552123