Search a number
-
+
454545432 = 233411431483
BaseRepresentation
bin11011000101111…
…101000000011000
31011200022022010000
4123011331000120
51412330423212
6113034253000
714156400225
oct3305750030
91150268100
10454545432
11213640790
12108287160
137322b8c3
144452294c
1529d8a1dc
hex1b17d018

454545432 has 160 divisors (see below), whose sum is σ = 1422146880. Its totient is φ = 134447040.

The previous prime is 454545431. The next prime is 454545451. The reversal of 454545432 is 234545454.

454545432 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×4545454322 = 413223099504133248, which contains 22 as substring.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454545431) 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 39 ways as a sum of consecutive naturals, for example, 305763 + ... + 307245.

It is an arithmetic number, because the mean of its divisors is an integer number (8888418).

Almost surely, 2454545432 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 454545432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711073440).

454545432 is an abundant number, since it is smaller than the sum of its proper divisors (967601448).

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

454545432 is a wasteful number, since it uses less digits than its factorization.

454545432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1542 counting only the distinct ones).

The product of its digits is 192000, while the sum is 36.

The square root of 454545432 is about 21320.0711068233. The cubic root of 454545432 is about 768.8809471165.

The spelling of 454545432 in words is "four hundred fifty-four million, five hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 43 44 54 66 72 81 86 88 99 108 129 132 162 172 198 216 258 264 297 324 344 387 396 473 516 594 648 774 792 891 946 1032 1161 1188 1419 1483 1548 1782 1892 2322 2376 2838 2966 3096 3483 3564 3784 4257 4449 4644 5676 5932 6966 7128 8514 8898 9288 11352 11864 12771 13347 13932 16313 17028 17796 25542 26694 27864 32626 34056 35592 38313 40041 48939 51084 53388 63769 65252 76626 80082 97878 102168 106776 120123 127538 130504 146817 153252 160164 191307 195756 240246 255076 293634 306504 320328 382614 391512 440451 480492 510152 573921 587268 701459 765228 880902 960984 1147842 1174536 1321353 1402918 1530456 1721763 1761804 2104377 2295684 2642706 2805836 3443526 3523608 4208754 4591368 5165289 5285412 5611672 6313131 6887052 8417508 10330578 10570824 12626262 13774104 16835016 18939393 20661156 25252524 37878786 41322312 50505048 56818179 75757572 113636358 151515144 227272716 454545432