Search a number
-
+
550669968 = 243312710037
BaseRepresentation
bin100000110100101…
…000111010010000
31102101011221012000
4200310220322100
52111432414333
6130350434000
716434421542
oct4064507220
91371157160
10550669968
11262925552
12134502900
138a116424
14531c5692
1533526713
hex20d28e90

550669968 has 80 divisors (see below), whose sum is σ = 1593231360. Its totient is φ = 182093184.

The previous prime is 550669949. The next prime is 550669969. The reversal of 550669968 is 869966055.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550669969) 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 15 ways as a sum of consecutive naturals, for example, 49846 + ... + 59882.

It is an arithmetic number, because the mean of its divisors is an integer number (19915392).

Almost surely, 2550669968 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 550669968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796615680).

550669968 is an abundant number, since it is smaller than the sum of its proper divisors (1042561392).

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

550669968 is a wasteful number, since it uses less digits than its factorization.

550669968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10181 (or 10169 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The square root of 550669968 is about 23466.3582176698. The cubic root of 550669968 is about 819.6538138128.

The spelling of 550669968 in words is "five hundred fifty million, six hundred sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 127 144 216 254 381 432 508 762 1016 1143 1524 2032 2286 3048 3429 4572 6096 6858 9144 10037 13716 18288 20074 27432 30111 40148 54864 60222 80296 90333 120444 160592 180666 240888 270999 361332 481776 541998 722664 1083996 1274699 1445328 2167992 2549398 3824097 4335984 5098796 7648194 10197592 11472291 15296388 20395184 22944582 30592776 34416873 45889164 61185552 68833746 91778328 137667492 183556656 275334984 550669968