Search a number
-
+
4714983000 = 23335371319101
BaseRepresentation
bin1000110010000100…
…01110111001011000
3110011121001221202000
410121002032321120
534124013424000
62055510241000
7224561460060
oct43102167130
913147057660
104714983000
111aaa537572
12ab7056160
135a1aa8790
1432a2ac3a0
151c8e07000
hex11908ee58

4714983000 has 1024 divisors, whose sum is σ = 21385728000. Its totient is φ = 933120000.

The previous prime is 4714982971. The next prime is 4714983017. The reversal of 4714983000 is 3894174.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 46682950 + ... + 46683050.

It is an arithmetic number, because the mean of its divisors is an integer number (20884500).

Almost surely, 24714983000 is an apocalyptic number.

4714983000 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 4714983000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10692864000).

4714983000 is an abundant number, since it is smaller than the sum of its proper divisors (16670745000).

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

4714983000 is a wasteful number, since it uses less digits than its factorization.

4714983000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4714983000 is about 68665.7338124337. The cubic root of 4714983000 is about 1676.8467638825.

The spelling of 4714983000 in words is "four billion, seven hundred fourteen million, nine hundred eighty-three thousand".