Search a number
-
+
453996252 = 22347917737
BaseRepresentation
bin11011000011110…
…110111011011100
31011122021101210000
4123003312323130
51412210340002
6113014414300
714151622143
oct3303667334
91148241700
10453996252
112132a6116
12108061390
1373098948
144441c75a
1529ccc61c
hex1b0f6edc

453996252 has 60 divisors (see below), whose sum is σ = 1201926880. Its totient is φ = 149408064.

The previous prime is 453996211. The next prime is 453996259. The reversal of 453996252 is 252699354.

453996252 is a `hidden beast` number, since 4 + 5 + 399 + 6 + 252 = 666.

It is a super-2 number, since 2×4539962522 = 412225193660095008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 453996198 and 453996207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (453996259) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16728 + ... + 34464.

Almost surely, 2453996252 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 453996252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600963440).

453996252 is an abundant number, since it is smaller than the sum of its proper divisors (747930628).

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

453996252 is a wasteful number, since it uses less digits than its factorization.

453996252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17832 (or 17821 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 453996252 is about 21307.1878013031. The cubic root of 453996252 is about 768.5711693486.

The spelling of 453996252 in words is "four hundred fifty-three million, nine hundred ninety-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 316 324 474 711 948 1422 2133 2844 4266 6399 8532 12798 17737 25596 35474 53211 70948 106422 159633 212844 319266 478899 638532 957798 1401223 1436697 1915596 2802446 2873394 4203669 5604892 5746788 8407338 12611007 16814676 25222014 37833021 50444028 75666042 113499063 151332084 226998126 453996252