Search a number
-
+
4627202240 = 265193767307
BaseRepresentation
bin1000100111100110…
…11000000011000000
3102221110220020011202
410103303120003000
533434030432430
62043053000332
7222444366353
oct42363300300
912843806152
104627202240
111a64a31591
12a917830a8
135898529bb
1431c77c29a
151c1367d45
hex113cd80c0

4627202240 has 224 divisors, whose sum is σ = 12129089280. Its totient is φ = 1675137024.

The previous prime is 4627202227. The next prime is 4627202243. The reversal of 4627202240 is 422027264.

It is a happy number.

It is a super-2 number, since 2×46272022402 = 42822001139722035200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4627202243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15072167 + ... + 15072473.

It is an arithmetic number, because the mean of its divisors is an integer number (54147720).

Almost surely, 24627202240 is an apocalyptic number.

4627202240 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 4627202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6064544640).

4627202240 is an abundant number, since it is smaller than the sum of its proper divisors (7501887040).

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

4627202240 is a wasteful number, since it uses less digits than its factorization.

4627202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 4627202240 is about 68023.5418072302. The cubic root of 4627202240 is about 1666.3753289875.

The spelling of 4627202240 in words is "four billion, six hundred twenty-seven million, two hundred two thousand, two hundred forty".