Search a number
-
+
550295496 = 23321931992
BaseRepresentation
bin100000110011001…
…101011111001000
31102100110220111200
4200303031133020
52111333423441
6130334424200
716431302022
oct4063153710
91370426450
10550295496
1126269a173
12134362060
138a014b4a
1453129012
15334a07b6
hex20ccd7c8

550295496 has 72 divisors (see below), whose sum is σ = 1505671830. Its totient is φ = 181564416.

The previous prime is 550295489. The next prime is 550295497. The reversal of 550295496 is 694592055.

It is a happy number.

550295496 is a `hidden beast` number, since 5 + 502 + 9 + 54 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 514654596 + 35640900 = 22686^2 + 5970^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550295497) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2765205 + ... + 2765403.

Almost surely, 2550295496 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 550295496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752835915).

550295496 is an abundant number, since it is smaller than the sum of its proper divisors (955376334).

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

550295496 is a wasteful number, since it uses less digits than its factorization.

550295496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 550295496 is about 23458.3779490399. The cubic root of 550295496 is about 819.4679753356.

The spelling of 550295496 in words is "five hundred fifty million, two hundred ninety-five thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 199 386 398 579 597 772 796 1158 1194 1544 1592 1737 1791 2316 2388 3474 3582 4632 4776 6948 7164 13896 14328 38407 39601 76814 79202 115221 118803 153628 158404 230442 237606 307256 316808 345663 356409 460884 475212 691326 712818 921768 950424 1382652 1425636 2765304 2851272 7642993 15285986 22928979 30571972 45857958 61143944 68786937 91715916 137573874 183431832 275147748 550295496