Search a number
-
+
452994480 = 243252812239
BaseRepresentation
bin11011000000000…
…010010110110000
31011120101111121100
4123000002112300
51411431310410
6112541124400
714140250421
oct3300022660
91146344540
10452994480
11212781504
12107859700
1372b07993
144423b648
1529b808c0
hex1b0025b0

452994480 has 120 divisors (see below), whose sum is σ = 1527402240. Its totient is φ = 120314880.

The previous prime is 452994449. The next prime is 452994481. The reversal of 452994480 is 84499254.

452994480 is a `hidden beast` number, since 4 + 529 + 9 + 44 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (452994481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201201 + ... + 203439.

It is an arithmetic number, because the mean of its divisors is an integer number (12728352).

Almost surely, 2452994480 is an apocalyptic number.

452994480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452994480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763701120).

452994480 is an abundant number, since it is smaller than the sum of its proper divisors (1074407760).

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

452994480 is a wasteful number, since it uses less digits than its factorization.

452994480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 452994480 is about 21283.6669772857. Note that the first 3 decimals coincide. The cubic root of 452994480 is about 768.0054524352.

The spelling of 452994480 in words is "four hundred fifty-two million, nine hundred ninety-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 281 360 562 720 843 1124 1405 1686 2239 2248 2529 2810 3372 4215 4478 4496 5058 5620 6717 6744 8430 8956 10116 11195 11240 12645 13434 13488 16860 17912 20151 20232 22390 22480 25290 26868 33585 33720 35824 40302 40464 44780 50580 53736 67170 67440 80604 89560 100755 101160 107472 134340 161208 179120 201510 202320 268680 322416 403020 537360 629159 806040 1258318 1612080 1887477 2516636 3145795 3774954 5033272 5662431 6291590 7549908 9437385 10066544 11324862 12583180 15099816 18874770 22649724 25166360 28312155 30199632 37749540 45299448 50332720 56624310 75499080 90598896 113248620 150998160 226497240 452994480