Search a number
-
+
450990552 = 2331710910141
BaseRepresentation
bin11010111000011…
…001000111011000
31011102121200201210
4122320121013120
51410423144202
6112430143120
714114233155
oct3270310730
91142550653
10450990552
11211632971
12107051aa0
137258581c
1443c7922c
15298d6c6c
hex1ae191d8

450990552 has 64 divisors (see below), whose sum is σ = 1204869600. Its totient is φ = 140175360.

The previous prime is 450990541. The next prime is 450990557. The reversal of 450990552 is 255099054.

It is a self number, because there is not a number n which added to its sum of digits gives 450990552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450990557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39402 + ... + 49542.

Almost surely, 2450990552 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 450990552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602434800).

450990552 is an abundant number, since it is smaller than the sum of its proper divisors (753879048).

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

450990552 is a wasteful number, since it uses less digits than its factorization.

450990552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10276 (or 10272 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

The square root of 450990552 is about 21236.5381359580. The cubic root of 450990552 is about 766.8712939193.

The spelling of 450990552 in words is "four hundred fifty million, nine hundred ninety thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 109 136 204 218 327 408 436 654 872 1308 1853 2616 3706 5559 7412 10141 11118 14824 20282 22236 30423 40564 44472 60846 81128 121692 172397 243384 344794 517191 689588 1034382 1105369 1379176 2068764 2210738 3316107 4137528 4421476 6632214 8842952 13264428 18791273 26528856 37582546 56373819 75165092 112747638 150330184 225495276 450990552