Search a number
-
+
4421352480 = 253515161001
BaseRepresentation
bin1000001111000100…
…00111110000100000
3102102010112222101120
410013202013300200
533023331234410
62010420532240
7214364606316
oct40742076040
912363488346
104421352480
111969813616
12a34851080
13555ccabcc
142dd2b60b6
151ad255570
hex107887c20

4421352480 has 96 divisors (see below), whose sum is σ = 14019723648. Its totient is φ = 1171200000.

The previous prime is 4421352437. The next prime is 4421352487. The reversal of 4421352480 is 842531244.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4421352487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41980 + ... + 102980.

It is an arithmetic number, because the mean of its divisors is an integer number (146038788).

Almost surely, 24421352480 is an apocalyptic number.

4421352480 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 4421352480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7009861824).

4421352480 is an abundant number, since it is smaller than the sum of its proper divisors (9598371168).

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

4421352480 is a wasteful number, since it uses less digits than its factorization.

4421352480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61170 (or 61162 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 4421352480 is about 66493.2513868889. The cubic root of 4421352480 is about 1641.2889529759.

The spelling of 4421352480 in words is "four billion, four hundred twenty-one million, three hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 151 160 240 302 453 480 604 755 906 1208 1510 1812 2265 2416 3020 3624 4530 4832 6040 7248 9060 12080 14496 18120 24160 36240 61001 72480 122002 183003 244004 305005 366006 488008 610010 732012 915015 976016 1220020 1464024 1830030 1952032 2440040 2928048 3660060 4880080 5856096 7320120 9211151 9760160 14640240 18422302 27633453 29280480 36844604 46055755 55266906 73689208 92111510 110533812 138167265 147378416 184223020 221067624 276334530 294756832 368446040 442135248 552669060 736892080 884270496 1105338120 1473784160 2210676240 4421352480