Search a number
-
+
453364472 = 231119397683
BaseRepresentation
bin11011000001011…
…100101011111000
31011121002022010202
4123001130223320
51412030130342
6112553101332
714143351211
oct3301345370
91147068122
10453364472
11212a04490
121079b7848
1372c07202
14442d6408
1529c05332
hex1b05caf8

453364472 has 64 divisors (see below), whose sum is σ = 980035200. Its totient is φ = 194451840.

The previous prime is 453364469. The next prime is 453364493. The reversal of 453364472 is 274463354.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663443 + ... + 664125.

It is an arithmetic number, because the mean of its divisors is an integer number (15313050).

Almost surely, 2453364472 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 453364472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490017600).

453364472 is an abundant number, since it is smaller than the sum of its proper divisors (526670728).

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

453364472 is a wasteful number, since it uses less digits than its factorization.

453364472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1112 counting only the distinct ones).

The product of its digits is 241920, while the sum is 38.

The square root of 453364472 is about 21292.3571264433. The cubic root of 453364472 is about 768.2144899679.

It can be divided in two parts, 4533 and 64472, that multiplied together give a triangular number (292251576 = T24176).

The spelling of 453364472 in words is "four hundred fifty-three million, three hundred sixty-four thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 397 418 683 794 836 1366 1588 1672 2732 3176 4367 5464 7513 7543 8734 12977 15026 15086 17468 25954 30052 30172 34936 51908 60104 60344 82973 103816 142747 165946 271151 285494 331892 542302 570988 663784 1084604 1141976 2169208 2982661 5151869 5965322 10303738 11930644 20607476 23861288 41214952 56670559 113341118 226682236 453364472