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552096 = 253571
BaseRepresentation
bin10000110110010100000
31001001100000
42012302200
5120131341
615500000
74456416
oct2066240
91031300
10552096
11347886
12227600
131643ac
141052b6
15ad8b6
hex86ca0

552096 has 72 divisors (see below), whose sum is σ = 1651104. Its totient is φ = 181440.

The previous prime is 552091. The next prime is 552103. The reversal of 552096 is 690255.

552096 = 303 + 313 + ... + 413.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 552096.

It is not an unprimeable number, because it can be changed into a prime (552091) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7741 + ... + 7811.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2552096 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 552096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825552).

552096 is an abundant number, since it is smaller than the sum of its proper divisors (1099008).

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

552096 is an equidigital number, since it uses as much as digits as its factorization.

552096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 552096 is about 743.0316278598. The cubic root of 552096 is about 82.0360737572.

The spelling of 552096 in words is "five hundred fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 81 96 108 142 144 162 213 216 243 284 288 324 426 432 486 568 639 648 852 864 972 1136 1278 1296 1704 1917 1944 2272 2556 2592 3408 3834 3888 5112 5751 6816 7668 7776 10224 11502 15336 17253 20448 23004 30672 34506 46008 61344 69012 92016 138024 184032 276048 552096