Search a number
-
+
4098798600 = 23352131730911
BaseRepresentation
bin1111010001001110…
…1011010000001000
3101120122121112122120
43310103223100020
531343243023400
61514415251240
7203400133101
oct36423532010
911518545576
104098798600
111813735066
12964819b20
13504234420
142ac5113a8
1518ec8dca0
hexf44eb408

4098798600 has 192 divisors, whose sum is σ = 14489072640. Its totient is φ = 949555200.

The previous prime is 4098798589. The next prime is 4098798601. The reversal of 4098798600 is 68978904.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (4098798601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117145 + ... + 148055.

It is an arithmetic number, because the mean of its divisors is an integer number (75463920).

Almost surely, 24098798600 is an apocalyptic number.

4098798600 is a gapful number since it is divisible by the number (40) 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 4098798600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7244536320).

4098798600 is an abundant number, since it is smaller than the sum of its proper divisors (10390274040).

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

4098798600 is a wasteful number, since it uses less digits than its factorization.

4098798600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30960 (or 30951 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 4098798600 is about 64021.8603291095. The cubic root of 4098798600 is about 1600.3643180806.

The spelling of 4098798600 in words is "four billion, ninety-eight million, seven hundred ninety-eight thousand, six hundred".