Search a number
-
+
51404220 = 2235571511
BaseRepresentation
bin1100010000010…
…1110110111100
310120201121100000
43010011312330
5101124413340
65033434300
71162633350
oct304056674
9116647300
1051404220
112701a82a
121526b990
13a85a5ca
146b81460
1547a5d30
hex3105dbc

51404220 has 144 divisors (see below), whose sum is σ = 184923648. Its totient is φ = 11741760.

The previous prime is 51404219. The next prime is 51404237. The reversal of 51404220 is 2240415.

51404220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 51404193 and 51404202.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 33265 + ... + 34775.

It is an arithmetic number, because the mean of its divisors is an integer number (1284192).

Almost surely, 251404220 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 51404220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92461824).

51404220 is an abundant number, since it is smaller than the sum of its proper divisors (133519428).

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

51404220 is a wasteful number, since it uses less digits than its factorization.

51404220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 51404220 is about 7169.6736327395. The cubic root of 51404220 is about 371.8201523987.

Adding to 51404220 its reverse (2240415), we get a palindrome (53644635).

It can be divided in two parts, 5 and 1404220, that added together give a square (1404225 = 11852).

The spelling of 51404220 in words is "fifty-one million, four hundred four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1511 1620 1701 1890 2268 2430 2835 3022 3402 3780 4533 4860 5670 6044 6804 7555 8505 9066 10577 11340 13599 15110 17010 18132 21154 22665 27198 30220 31731 34020 40797 42308 45330 52885 54396 63462 67995 81594 90660 95193 105770 122391 126924 135990 158655 163188 190386 203985 211540 244782 271980 285579 317310 367173 380772 407970 475965 489564 571158 611955 634620 734346 815940 856737 951930 1142316 1223910 1427895 1468692 1713474 1835865 1903860 2447820 2570211 2855790 3426948 3671730 4283685 5140422 5711580 7343460 8567370 10280844 12851055 17134740 25702110 51404220