Search a number
-
+
4050004320 = 25335937501
BaseRepresentation
bin1111000101100110…
…0010100101100000
3101110020210112111000
43301121202211200
531243300114240
61505513352000
7202235316525
oct36131424540
911406715430
104050004320
11179913820a
12950408600
134c70aba7b
142a5c4d14c
1518a851430
hexf1662960

4050004320 has 96 divisors (see below), whose sum is σ = 14175030240. Its totient is φ = 1080000000.

The previous prime is 4050004297. The next prime is 4050004351. The reversal of 4050004320 is 234000504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 4050004293 and 4050004302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464431 + ... + 473070.

It is an arithmetic number, because the mean of its divisors is an integer number (147656565).

Almost surely, 24050004320 is an apocalyptic number.

4050004320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4050004320 is an abundant number, since it is smaller than the sum of its proper divisors (10125025920).

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

4050004320 is a wasteful number, since it uses less digits than its factorization.

4050004320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937525 (or 937511 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4050004320 is about 63639.6442479057. The cubic root of 4050004320 is about 1593.9884205250.

Adding to 4050004320 its reverse (234000504), we get a palindrome (4284004824).

The spelling of 4050004320 in words is "four billion, fifty million, four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 937501 1875002 2812503 3750004 4687505 5625006 7500008 8437509 9375010 11250012 14062515 15000016 16875018 18750020 22500024 25312527 28125030 30000032 33750036 37500040 42187545 45000048 50625054 56250060 67500072 75000080 84375090 90000096 101250108 112500120 126562635 135000144 150000160 168750180 202500216 225000240 253125270 270000288 337500360 405000432 450000480 506250540 675000720 810000864 1012501080 1350001440 2025002160 4050004320