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452252628 = 2232371632083
BaseRepresentation
bin11010111101001…
…101001111010100
31011111222210222100
4122331031033110
51411234041003
6112513202100
714131040532
oct3275151724
91144883870
10452252628
11212315103
12107560330
1372908109
14440c7152
1529a85ba3
hex1af4d3d4

452252628 has 72 divisors (see below), whose sum is σ = 1181861408. Its totient is φ = 145706688.

The previous prime is 452252623. The next prime is 452252677. The reversal of 452252628 is 826252254.

452252628 is a `hidden beast` number, since 4 + 5 + 2 + 25 + 2 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 452252592 and 452252601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452252623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216075 + ... + 218157.

Almost surely, 2452252628 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 452252628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590930704).

452252628 is an abundant number, since it is smaller than the sum of its proper divisors (729608780).

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

452252628 is a wasteful number, since it uses less digits than its factorization.

452252628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2288 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 452252628 is about 21266.2321063229. The cubic root of 452252628 is about 767.5859788311.

The spelling of 452252628 in words is "four hundred fifty-two million, two hundred fifty-two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 163 222 326 333 444 489 652 666 978 1332 1467 1956 2083 2934 4166 5868 6031 6249 8332 12062 12498 18093 18747 24124 24996 36186 37494 54279 72372 74988 77071 108558 154142 217116 231213 308284 339529 462426 679058 693639 924852 1018587 1358116 1387278 2037174 2774556 3055761 4074348 6111522 12223044 12562573 25125146 37687719 50250292 75375438 113063157 150750876 226126314 452252628