Search a number
-
+
4050501400 = 2352113894733
BaseRepresentation
bin1111000101101101…
…1011111100011000
3101110021201210100101
43301123123330120
531243412021100
61505532145144
7202242456661
oct36133337430
911407653311
104050501400
111799447720
129506081b4
134c72240ba
142a5d3c368
1518a8ed86a
hexf16dbf18

4050501400 has 96 divisors (see below), whose sum is σ = 10302130800. Its totient is φ = 1468812800.

The previous prime is 4050501361. The next prime is 4050501409. The reversal of 4050501400 is 41050504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4050501409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 853434 + ... + 858166.

Almost surely, 24050501400 is an apocalyptic number.

4050501400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4050501400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151065400).

4050501400 is an abundant number, since it is smaller than the sum of its proper divisors (6251629400).

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

4050501400 is a wasteful number, since it uses less digits than its factorization.

4050501400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5149 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 4050501400 is about 63643.5495553163. The cubic root of 4050501400 is about 1594.0536309369.

Adding to 4050501400 its reverse (41050504), we get a palindrome (4091551904).

The spelling of 4050501400 in words is "four billion, fifty million, five hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 389 440 550 778 1100 1556 1945 2200 3112 3890 4279 4733 7780 8558 9466 9725 15560 17116 18932 19450 21395 23665 34232 37864 38900 42790 47330 52063 77800 85580 94660 104126 106975 118325 171160 189320 208252 213950 236650 260315 416504 427900 473300 520630 855800 946600 1041260 1301575 1841137 2082520 2603150 3682274 5206300 7364548 9205685 10412600 14729096 18411370 20252507 36822740 40505014 46028425 73645480 81010028 92056850 101262535 162020056 184113700 202525070 368227400 405050140 506312675 810100280 1012625350 2025250700 4050501400