Search a number
-
+
36423450 = 23252731373
BaseRepresentation
bin1000101011110…
…0011100011010
32112112111120200
42022330130122
533311022300
63340403030
7621410550
oct212743432
975474520
1036423450
1119618528
1210246476
13771394b
144ba1bd0
1532e7200
hex22bc71a

36423450 has 144 divisors (see below), whose sum is σ = 115754496. Its totient is φ = 8035200.

The previous prime is 36423383. The next prime is 36423463. The reversal of 36423450 is 5432463.

36423450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 97464 + ... + 97836.

Almost surely, 236423450 is an apocalyptic number.

36423450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36423450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57877248).

36423450 is an abundant number, since it is smaller than the sum of its proper divisors (79331046).

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

36423450 is a wasteful number, since it uses less digits than its factorization.

36423450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 36423450 is about 6035.1843385269. The cubic root of 36423450 is about 331.4823124132.

The spelling of 36423450 in words is "thirty-six million, four hundred twenty-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 31 35 42 45 50 62 63 70 75 90 93 105 126 150 155 175 186 210 217 225 279 310 315 350 373 434 450 465 525 558 630 651 746 775 930 1050 1085 1119 1302 1395 1550 1575 1865 1953 2170 2238 2325 2611 2790 3150 3255 3357 3730 3906 4650 5222 5425 5595 6510 6714 6975 7833 9325 9765 10850 11190 11563 13055 13950 15666 16275 16785 18650 19530 23126 23499 26110 27975 32550 33570 34689 39165 46998 48825 55950 57815 65275 69378 78330 80941 83925 97650 104067 115630 117495 130550 161882 167850 173445 195825 208134 234990 242823 289075 346890 391650 404705 485646 520335 578150 587475 728469 809410 867225 1040670 1174950 1214115 1456938 1734450 2023525 2428230 2601675 3642345 4047050 5203350 6070575 7284690 12141150 18211725 36423450