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451025052 = 2232910312583
BaseRepresentation
bin11010111000100…
…001100010011100
31011102200110001120
4122320201202130
51410430300202
6112431010540
714114435562
oct3270414234
91142613046
10451025052
11211656885
12107069a50
137259843a
1443c87a32
15298e20bc
hex1ae2189c

451025052 has 48 divisors (see below), whose sum is σ = 1099338240. Its totient is φ = 143736768.

The previous prime is 451024991. The next prime is 451025053. The reversal of 451025052 is 250520154.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451025053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29553 + ... + 42135.

It is an arithmetic number, because the mean of its divisors is an integer number (22902880).

Almost surely, 2451025052 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 451025052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549669120).

451025052 is an abundant number, since it is smaller than the sum of its proper divisors (648313188).

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

451025052 is a wasteful number, since it uses less digits than its factorization.

451025052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12722 (or 12720 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 451025052 is about 21237.3503997085. The cubic root of 451025052 is about 766.8908481981.

The spelling of 451025052 in words is "four hundred fifty-one million, twenty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 12 29 58 87 103 116 174 206 309 348 412 618 1236 2987 5974 8961 11948 12583 17922 25166 35844 37749 50332 75498 150996 364907 729814 1094721 1296049 1459628 2189442 2592098 3888147 4378884 5184196 7776294 15552588 37585421 75170842 112756263 150341684 225512526 451025052