Search a number
-
+
4376922816 = 263717238329
BaseRepresentation
bin1000001001110001…
…01000101011000000
3102022000221201100110
410010320220223000
532430443012231
62002152351320
7213315141630
oct40470505300
912260851313
104376922816
111946727992
12a219a5540
13549a43076
142d742c6c0
151a93cb046
hex104e28ac0

4376922816 has 224 divisors, whose sum is σ = 14624547840. Its totient is φ = 1125679104.

The previous prime is 4376922791. The next prime is 4376922853. The reversal of 4376922816 is 6182296734.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 521340 + ... + 529668.

It is an arithmetic number, because the mean of its divisors is an integer number (65288160).

Almost surely, 24376922816 is an apocalyptic number.

4376922816 is a gapful number since it is divisible by the number (46) 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 4376922816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312273920).

4376922816 is an abundant number, since it is smaller than the sum of its proper divisors (10247625024).

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

4376922816 is a wasteful number, since it uses less digits than its factorization.

4376922816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8391 (or 8381 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 4376922816 is about 66158.3163026388. The cubic root of 4376922816 is about 1635.7727260439.

The spelling of 4376922816 in words is "four billion, three hundred seventy-six million, nine hundred twenty-two thousand, eight hundred sixteen".