Search a number
-
+
4385820696 = 233596434817
BaseRepresentation
bin1000001010110101…
…00101000000011000
3102022122200202221120
410011122211000120
532440232230241
62003111205240
7213453601155
oct40532450030
912278622846
104385820696
111950755004
12a24976820
1354b83a09a
142d86a722c
151aa087666
hex1056a5018

4385820696 has 64 divisors (see below), whose sum is σ = 11170051200. Its totient is φ = 1434628608.

The previous prime is 4385820689. The next prime is 4385820709. The reversal of 4385820696 is 6960285834.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 908080 + ... + 912896.

It is an arithmetic number, because the mean of its divisors is an integer number (174532050).

Almost surely, 24385820696 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 4385820696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5585025600).

4385820696 is an abundant number, since it is smaller than the sum of its proper divisors (6784230504).

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

4385820696 is a wasteful number, since it uses less digits than its factorization.

4385820696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528 (or 5524 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The square root of 4385820696 is about 66225.5290352595. The cubic root of 4385820696 is about 1636.8804340715.

The spelling of 4385820696 in words is "four billion, three hundred eighty-five million, eight hundred twenty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 643 708 1286 1416 1929 2572 3858 4817 5144 7716 9634 14451 15432 19268 28902 37937 38536 57804 75874 113811 115608 151748 227622 284203 303496 455244 568406 852609 910488 1136812 1705218 2273624 3097331 3410436 6194662 6820872 9291993 12389324 18583986 24778648 37167972 74335944 182742529 365485058 548227587 730970116 1096455174 1461940232 2192910348 4385820696