Search a number
-
+
452996496 = 24331576679
BaseRepresentation
bin11011000000000…
…010110110010000
31011120101121101000
4123000002312100
51411431341441
6112541142000
714140256331
oct3300026620
91146347330
10452996496
11212782a77
1210785a900
1372b08884
144423c288
1529b812b6
hex1b002d90

452996496 has 80 divisors (see below), whose sum is σ = 1308745600. Its totient is φ = 150014592.

The previous prime is 452996473. The next prime is 452996497. The reversal of 452996496 is 694699254.

It is a happy number.

452996496 is a `hidden beast` number, since 45 + 29 + 96 + 496 = 666.

It is a super-3 number, since 3×4529964963 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (452996497) 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, 64485 + ... + 71163.

It is an arithmetic number, because the mean of its divisors is an integer number (16359320).

Almost surely, 2452996496 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 452996496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654372800).

452996496 is an abundant number, since it is smaller than the sum of its proper divisors (855749104).

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

452996496 is a wasteful number, since it uses less digits than its factorization.

452996496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6853 (or 6841 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 452996496 is about 21283.7143374929. The cubic root of 452996496 is about 768.0065917403.

It can be divided in two parts, 4529 and 96496, that added together give a triangular number (101025 = T449).

The spelling of 452996496 in words is "four hundred fifty-two million, nine hundred ninety-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 157 216 314 432 471 628 942 1256 1413 1884 2512 2826 3768 4239 5652 6679 7536 8478 11304 13358 16956 20037 22608 26716 33912 40074 53432 60111 67824 80148 106864 120222 160296 180333 240444 320592 360666 480888 721332 961776 1048603 1442664 2097206 2885328 3145809 4194412 6291618 8388824 9437427 12583236 16777648 18874854 25166472 28312281 37749708 50332944 56624562 75499416 113249124 150998832 226498248 452996496