Search a number
-
+
3821628096 = 2632111324383
BaseRepresentation
bin1110001111001001…
…0110101011000000
3100212100001211012100
43203302112223000
530311314044341
61431114430400
7163463205606
oct34362265300
910770054170
103821628096
111691233830
128a7a32400
1348b99a900
142837a1876
1517578e3b6
hexe3c96ac0

3821628096 has 504 divisors, whose sum is σ = 13400202816. Its totient is φ = 1031546880.

The previous prime is 3821628077. The next prime is 3821628103. The reversal of 3821628096 is 6908261283.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46043671 + ... + 46043753.

It is an arithmetic number, because the mean of its divisors is an integer number (26587704).

Almost surely, 23821628096 is an apocalyptic number.

3821628096 is a gapful number since it is divisible by the number (36) 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 3821628096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6700101408).

3821628096 is an abundant number, since it is smaller than the sum of its proper divisors (9578574720).

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

3821628096 is a wasteful number, since it uses less digits than its factorization.

3821628096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3821628096 is about 61819.3181457059. The cubic root of 3821628096 is about 1563.4457168549.

The spelling of 3821628096 in words is "three billion, eight hundred twenty-one million, six hundred twenty-eight thousand, ninety-six".