Search a number
-
+
455263146 = 233131813583
BaseRepresentation
bin11011001000101…
…100001110101010
31011201122202122000
4123020230032222
51413021410041
6113101511430
714165446542
oct3310541652
91151582560
10455263146
11213a90a38
12108572576
13734204a0
144466c322
1529e7cbb6
hex1b22c3aa

455263146 has 64 divisors (see below), whose sum is σ = 1095843840. Its totient is φ = 139268160.

The previous prime is 455263129. The next prime is 455263153. The reversal of 455263146 is 641362554.

455263146 is a `hidden beast` number, since 4 + 552 + 63 + 1 + 46 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 455263146.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125271 + ... + 128853.

It is an arithmetic number, because the mean of its divisors is an integer number (17122560).

Almost surely, 2455263146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455263146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547921920).

455263146 is an abundant number, since it is smaller than the sum of its proper divisors (640580694).

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

455263146 is a wasteful number, since it uses less digits than its factorization.

455263146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3788 (or 3782 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 455263146 is about 21336.8963535000. The cubic root of 455263146 is about 769.2854145185.

The spelling of 455263146 in words is "four hundred fifty-five million, two hundred sixty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 181 234 351 362 543 702 1086 1629 2353 3258 3583 4706 4887 7059 7166 9774 10749 14118 21177 21498 32247 42354 46579 63531 64494 93158 96741 127062 139737 193482 279474 419211 648523 838422 1257633 1297046 1945569 2515266 3891138 5836707 8430799 11673414 16861598 17510121 25292397 35020242 50584794 75877191 151754382 227631573 455263146