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452993044 = 22721132181
BaseRepresentation
bin11011000000000…
…010000000010100
31011120101102122011
4123000002000110
51411431234134
6112541114004
714140243300
oct3300020024
91146342564
10452993044
11212780419
12107858904
1372b0712a
144423ad00
1529b80264
hex1b002014

452993044 has 54 divisors (see below), whose sum is σ = 935537694. Its totient is φ = 191358720.

The previous prime is 452993039. The next prime is 452993059. The reversal of 452993044 is 440399254.

It can be written as a sum of positive squares in 3 ways, for example, as 144288144 + 308704900 = 12012^2 + 17570^2 .

It is a junction number, because it is equal to n+sod(n) for n = 452992988 and 452993006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2502634 + ... + 2502814.

Almost surely, 2452993044 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 452993044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467768847).

452993044 is an abundant number, since it is smaller than the sum of its proper divisors (482544650).

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

452993044 is a wasteful number, since it uses less digits than its factorization.

452993044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 452993044 is about 21283.6332424706. The cubic root of 452993044 is about 768.0046409044.

The spelling of 452993044 in words is "four hundred fifty-two million, nine hundred ninety-three thousand, forty-four".

Divisors: 1 2 4 7 14 28 49 98 113 181 196 226 362 452 724 791 1267 1582 2534 3164 5068 5537 8869 11074 12769 17738 20453 22148 25538 35476 40906 51076 81812 89383 143171 178766 286342 357532 572684 625681 1002197 1251362 2004394 2311189 2502724 4008788 4622378 9244756 16178323 32356646 64713292 113248261 226496522 452993044