Search a number
-
+
452193280 = 21057113137
BaseRepresentation
bin11010111100111…
…110110000000000
31011111212210120021
4122330332300000
51411230141110
6112512023224
714130402520
oct3274766000
91144783507
10452193280
11212284560
12107531b14
13728b70b6
14440ad680
1529a732da
hex1af3ec00

452193280 has 352 divisors, whose sum is σ = 1433751552. Its totient is φ = 132710400.

The previous prime is 452193277. The next prime is 452193281. The reversal of 452193280 is 82391254.

It is a tau number, because it is divible by the number of its divisors (352).

It is not an unprimeable number, because it can be changed into a prime (452193281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12221422 + ... + 12221458.

Almost surely, 2452193280 is an apocalyptic number.

452193280 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 452193280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716875776).

452193280 is an abundant number, since it is smaller than the sum of its proper divisors (981558272).

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

452193280 is a wasteful number, since it uses less digits than its factorization.

452193280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 452193280 is about 21264.8367028764. The cubic root of 452193280 is about 767.5524012223.

The spelling of 452193280 in words is "four hundred fifty-two million, one hundred ninety-three thousand, two hundred eighty".