Search a number
-
+
552996160 = 2658919417
BaseRepresentation
bin100000111101100…
…000110101000000
31102112120010010021
4200331200311000
52113031334120
6130512343224
716463250463
oct4075406500
91375503107
10552996160
11264174222
12135244b14
138a74c182
145362d2da
1533835aaa
hex20f60d40

552996160 has 56 divisors (see below), whose sum is σ = 1331686440. Its totient is φ = 218701824.

The previous prime is 552996137. The next prime is 552996163. The reversal of 552996160 is 61699255.

It can be written as a sum of positive squares in 4 ways, for example, as 24364096 + 528632064 = 4936^2 + 22992^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552996163) 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 7 ways as a sum of consecutive naturals, for example, 18772 + ... + 38188.

It is an arithmetic number, because the mean of its divisors is an integer number (23780115).

Almost surely, 2552996160 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 552996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665843220).

552996160 is an abundant number, since it is smaller than the sum of its proper divisors (778690280).

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

552996160 is a wasteful number, since it uses less digits than its factorization.

552996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19523 (or 19513 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 43.

The square root of 552996160 is about 23515.8703857629. The cubic root of 552996160 is about 820.8063454298.

The spelling of 552996160 in words is "five hundred fifty-two million, nine hundred ninety-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 160 178 320 356 445 712 890 1424 1780 2848 3560 5696 7120 14240 19417 28480 38834 77668 97085 155336 194170 310672 388340 621344 776680 1242688 1553360 1728113 3106720 3456226 6213440 6912452 8640565 13824904 17281130 27649808 34562260 55299616 69124520 110599232 138249040 276498080 552996160