Search a number
-
+
4682542248 = 23321919117921
BaseRepresentation
bin1000101110001100…
…11110110010101000
3110002100000210101200
410113012132302220
534042212322443
62052351044200
7224015644446
oct42706366250
913070023350
104682542248
111a9319a32a
12aa8210660
1359815a877
14325c65b96
151c6149dd3
hex11719eca8

4682542248 has 96 divisors (see below), whose sum is σ = 13419993600. Its totient is φ = 1470873600.

The previous prime is 4682542247. The next prime is 4682542279. The reversal of 4682542248 is 8422452864.

4682542248 is a `hidden beast` number, since 4 + 6 + 82 + 542 + 24 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4682542243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252328 + ... + 270248.

It is an arithmetic number, because the mean of its divisors is an integer number (139791600).

Almost surely, 24682542248 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 4682542248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709996800).

4682542248 is an abundant number, since it is smaller than the sum of its proper divisors (8737451352).

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

4682542248 is a wasteful number, since it uses less digits than its factorization.

4682542248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18143 (or 18136 counting only the distinct ones).

The product of its digits is 983040, while the sum is 45.

The square root of 4682542248 is about 68429.1038082481. The cubic root of 4682542248 is about 1672.9921435056.

The spelling of 4682542248 in words is "four billion, six hundred eighty-two million, five hundred forty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 191 228 342 382 456 573 684 764 1146 1368 1528 1719 2292 3438 3629 4584 6876 7258 10887 13752 14516 17921 21774 29032 32661 35842 43548 53763 65322 71684 87096 107526 130644 143368 161289 215052 261288 322578 340499 430104 645156 680998 1021497 1290312 1361996 2042994 2723992 3064491 3422911 4085988 6128982 6845822 8171976 10268733 12257964 13691644 20537466 24515928 27383288 30806199 41074932 61612398 65035309 82149864 123224796 130070618 195105927 246449592 260141236 390211854 520282472 585317781 780423708 1170635562 1560847416 2341271124 4682542248