Search a number
-
+
455196672 = 2143473
BaseRepresentation
bin11011001000011…
…100000000000000
31011201112101110000
4123020130000000
51413012243142
6113100240000
714165052000
oct3310340000
91151471400
10455196672
11213a45aa7
12108540000
13733c9158
1444652000
1529e6814c
hex1b21c000

455196672 has 300 divisors, whose sum is σ = 1585922800. Its totient is φ = 130056192.

The previous prime is 455196659. The next prime is 455196697. The reversal of 455196672 is 276691554.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

455196672 is a `hidden beast` number, since 4 + 5 + 519 + 66 + 72 = 666.

Its product of digits (453600) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65028093 + ... + 65028099.

Almost surely, 2455196672 is an apocalyptic number.

455196672 is a gapful number since it is divisible by the number (42) 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 455196672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792961400).

455196672 is an abundant number, since it is smaller than the sum of its proper divisors (1130726128).

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

455196672 is an frugal number, since it uses more digits than its factorization.

455196672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 12 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 455196672 is about 21335.3385724249. The cubic root of 455196672 is about 769.2479709958.

The spelling of 455196672 in words is "four hundred fifty-five million, one hundred ninety-six thousand, six hundred seventy-two".