Search a number
-
+
452969680 = 2455662121
BaseRepresentation
bin11010111111111…
…100010011010000
31011120100020120211
4122333330103100
51411430012210
6112540413504
714140115212
oct3277742320
91146306524
10452969680
11212764909
12107847294
1372ac95c7
14442325b2
1529b7838a
hex1affc4d0

452969680 has 20 divisors (see below), whose sum is σ = 1053154692. Its totient is φ = 181187840.

The previous prime is 452969677. The next prime is 452969687. The reversal of 452969680 is 86969254.

It can be written as a sum of positive squares in 2 ways, for example, as 244109376 + 208860304 = 15624^2 + 14452^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452969687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2830981 + ... + 2831140.

Almost surely, 2452969680 is an apocalyptic number.

452969680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

452969680 is an abundant number, since it is smaller than the sum of its proper divisors (600185012).

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

452969680 is a wasteful number, since it uses less digits than its factorization.

452969680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5662134 (or 5662128 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The square root of 452969680 is about 21283.0843629395. The cubic root of 452969680 is about 767.9914368982.

The spelling of 452969680 in words is "four hundred fifty-two million, nine hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5662121 11324242 22648484 28310605 45296968 56621210 90593936 113242420 226484840 452969680