Search a number
-
+
4382143700 = 2252114784761
BaseRepresentation
bin1000001010011001…
…00011010011010100
3102022101202222001112
410011030203103110
532433312044300
62002500314152
7213410415104
oct40514432324
912271688045
104382143700
111949673470
12a236a2958
1354ab5054c
142d7dcb204
151a9aace35
hex1053234d4

4382143700 has 72 divisors (see below), whose sum is σ = 10594571904. Its totient is φ = 1559584000.

The previous prime is 4382143699. The next prime is 4382143723. The reversal of 4382143700 is 73412834.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9320 + ... + 94080.

It is an arithmetic number, because the mean of its divisors is an integer number (147146832).

Almost surely, 24382143700 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 4382143700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5297285952).

4382143700 is an abundant number, since it is smaller than the sum of its proper divisors (6212428204).

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

4382143700 is a wasteful number, since it uses less digits than its factorization.

4382143700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84833 (or 84826 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 4382143700 is about 66197.7620467641. The cubic root of 4382143700 is about 1636.4228621194.

The spelling of 4382143700 in words is "four billion, three hundred eighty-two million, one hundred forty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 188 220 235 275 470 517 550 940 1034 1100 1175 2068 2350 2585 4700 5170 10340 12925 25850 51700 84761 169522 339044 423805 847610 932371 1695220 1864742 2119025 3729484 3983767 4238050 4661855 7967534 8476100 9323710 15935068 18647420 19918835 23309275 39837670 43821437 46618550 79675340 87642874 93237100 99594175 175285748 199188350 219107185 398376700 438214370 876428740 1095535925 2191071850 4382143700