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451252134 = 23423163743
BaseRepresentation
bin11010111001011…
…000111110100110
31011110002222120000
4122321120332212
51411010032014
6112435522130
714116402614
oct3271307646
91143088500
10451252134
112117a1453
12107159346
13726478c8
1443d066b4
1529939509
hex1ae58fa6

451252134 has 80 divisors (see below), whose sum is σ = 1063003392. Its totient is φ = 142802352.

The previous prime is 451252133. The next prime is 451252177. The reversal of 451252134 is 431252154.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 451252098 and 451252107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451252133) 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 39 ways as a sum of consecutive naturals, for example, 606967 + ... + 607709.

Almost surely, 2451252134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451252134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531501696).

451252134 is an abundant number, since it is smaller than the sum of its proper divisors (611751258).

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

451252134 is a wasteful number, since it uses less digits than its factorization.

451252134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 934 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 451252134 is about 21242.6960153367. The cubic root of 451252134 is about 767.0195312861.

The spelling of 451252134 in words is "four hundred fifty-one million, two hundred fifty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 163 207 326 414 489 621 743 978 1242 1467 1486 1863 2229 2934 3726 3749 4401 4458 6687 7498 8802 11247 13203 13374 17089 20061 22494 26406 33741 34178 40122 51267 60183 67482 101223 102534 120366 121109 153801 202446 242218 303669 307602 363327 461403 607338 726654 922806 1089981 1384209 2179962 2768418 2785507 3269943 5571014 6539886 8356521 9809829 16713042 19619658 25069563 50139126 75208689 150417378 225626067 451252134