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455045430 = 23578997251
BaseRepresentation
bin11011000111110…
…111000100110110
31011201020200222110
4123013313010312
51412442423210
6113053111450
714163552030
oct3307670466
91151220873
10455045430
11213952404
12108488586
1373375368
1444612c50
1529e38420
hex1b1f7136

455045430 has 128 divisors (see below), whose sum is σ = 1280240640. Its totient is φ = 101376000.

The previous prime is 455045419. The next prime is 455045447. The reversal of 455045430 is 34540554.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1812805 + ... + 1813055.

It is an arithmetic number, because the mean of its divisors is an integer number (10001880).

Almost surely, 2455045430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455045430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640120320).

455045430 is an abundant number, since it is smaller than the sum of its proper divisors (825195210).

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

455045430 is a wasteful number, since it uses less digits than its factorization.

455045430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454.

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 455045430 is about 21331.7938767465. The cubic root of 455045430 is about 769.1627657089.

Adding to 455045430 its reverse (34540554), we get a palindrome (489585984).

The spelling of 455045430 in words is "four hundred fifty-five million, forty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 89 97 105 178 194 210 251 267 291 445 485 502 534 582 623 679 753 890 970 1246 1255 1335 1358 1455 1506 1757 1869 2037 2510 2670 2910 3115 3395 3514 3738 3765 4074 5271 6230 6790 7530 8633 8785 9345 10185 10542 17266 17570 18690 20370 22339 24347 25899 26355 43165 44678 48694 51798 52710 60431 67017 73041 86330 111695 120862 121735 129495 134034 146082 156373 170429 181293 223390 243470 258990 302155 312746 335085 340858 362586 365205 469119 511287 604310 670170 730410 781865 852145 906465 938238 1022574 1563730 1704290 1812930 2166883 2345595 2556435 4333766 4691190 5112870 6500649 10834415 13001298 15168181 21668830 30336362 32503245 45504543 65006490 75840905 91009086 151681810 227522715 455045430