Search a number
-
+
552661641 = 3272233103
BaseRepresentation
bin100000111100001…
…111001010001001
31102111221010020200
4200330033022021
52112440133031
6130501242413
716460355300
oct4074171211
91374833220
10552661641
11263a65964
12135103409
138a662b2c
1453583437
15337bb8e6
hex20f0f289

552661641 has 72 divisors (see below), whose sum is σ = 980254080. Its totient is φ = 299143152.

The previous prime is 552661601. The next prime is 552661649. The reversal of 552661641 is 146166255.

552661641 is a `hidden beast` number, since 5 + 5 + 2 + 6 + 6 + 1 + 641 = 666.

It is not a de Polignac number, because 552661641 - 27 = 552661513 is a prime.

Its product of digits (43200) is a multiple of the sum of its prime factors (192).

It is a junction number, because it is equal to n+sod(n) for n = 552661596 and 552661605.

It is not an unprimeable number, because it can be changed into a prime (552661649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5365596 + ... + 5365698.

It is an arithmetic number, because the mean of its divisors is an integer number (13614640).

Almost surely, 2552661641 is an apocalyptic number.

It is an amenable number.

552661641 is a deficient number, since it is larger than the sum of its proper divisors (427592439).

552661641 is a wasteful number, since it uses less digits than its factorization.

552661641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 136 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 552661641 is about 23508.7566876685. The cubic root of 552661641 is about 820.6408043756.

The spelling of 552661641 in words is "five hundred fifty-two million, six hundred sixty-one thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 23 49 63 69 103 147 161 207 309 441 483 529 721 927 1127 1449 1587 2163 2369 3381 3703 4761 5047 6489 7107 10143 11109 12167 15141 16583 21321 25921 33327 36501 45423 49749 54487 77763 85169 109503 116081 149247 163461 233289 255507 348243 381409 490383 596183 766521 1044729 1144227 1253201 1788549 2669863 3432681 3759603 5365647 8009589 8772407 11278809 24028767 26317221 61406849 78951663 184220547 552661641