Search a number
-
+
4749650400 = 25352111719557
BaseRepresentation
bin1000110110001100…
…11110100111100000
3110021000022020110210
410123012132213200
534211402303100
62103145254120
7225462235155
oct43306364740
913230266423
104749650400
112018065710
12b06794340
135a9026031
14330b3422c
151cbea3c50
hex11b19e9e0

4749650400 has 576 divisors, whose sum is σ = 18831294720. Its totient is φ = 1024819200.

The previous prime is 4749650393. The next prime is 4749650429. The reversal of 4749650400 is 40569474.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8526922 + ... + 8527478.

It is an arithmetic number, because the mean of its divisors is an integer number (32693220).

Almost surely, 24749650400 is an apocalyptic number.

4749650400 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 4749650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9415647360).

4749650400 is an abundant number, since it is smaller than the sum of its proper divisors (14081644320).

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

4749650400 is a wasteful number, since it uses less digits than its factorization.

4749650400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 4749650400 is about 68917.7074488117. The cubic root of 4749650400 is about 1680.9464621560.

The spelling of 4749650400 in words is "four billion, seven hundred forty-nine million, six hundred fifty thousand, four hundred".