Search a number
-
+
452813088 = 253713173049
BaseRepresentation
bin11010111111010…
…110000100100000
31011120001021210010
4122333112010200
51411410004323
6112533204520
714135563530
oct3277260440
91146037703
10452813088
112126681a2
12107790740
1372a73250
14441d14c0
1529b46c93
hex1afd6120

452813088 has 192 divisors, whose sum is σ = 1549497600. Its totient is φ = 112361472.

The previous prime is 452813077. The next prime is 452813107. The reversal of 452813088 is 880318254.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146988 + ... + 150036.

It is an arithmetic number, because the mean of its divisors is an integer number (8070300).

Almost surely, 2452813088 is an apocalyptic number.

452813088 is a gapful number since it is divisible by the number (48) 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 452813088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774748800).

452813088 is an abundant number, since it is smaller than the sum of its proper divisors (1096684512).

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

452813088 is a wasteful number, since it uses less digits than its factorization.

452813088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 452813088 is about 21279.4052548468. The cubic root of 452813088 is about 767.9029282693.

The spelling of 452813088 in words is "four hundred fifty-two million, eight hundred thirteen thousand, eighty-eight".