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4901450400 = 2533527211421
BaseRepresentation
bin1001001000010011…
…00011001010100000
3110122120221110221000
410210021203022200
540014232403100
62130211032000
7232314432600
oct44411431240
913576843830
104901450400
112095817260
12b4959b600
13601605312
14346d6ac00
151da48b900
hex1242632a0

4901450400 has 864 divisors, whose sum is σ = 22549181760. Its totient is φ = 1016064000.

The previous prime is 4901450383. The next prime is 4901450401. The reversal of 4901450400 is 40541094.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4901450401) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 11642190 + ... + 11642610.

It is an arithmetic number, because the mean of its divisors is an integer number (26098590).

Almost surely, 24901450400 is an apocalyptic number.

4901450400 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 4901450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11274590880).

4901450400 is an abundant number, since it is smaller than the sum of its proper divisors (17647731360).

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

4901450400 is a wasteful number, since it uses less digits than its factorization.

4901450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4901450400 is about 70010.3592334734. The cubic root of 4901450400 is about 1698.6668209690. Note that the first 3 decimals are identical.

Adding to 4901450400 its reverse (40541094), we get a palindrome (4941991494).

The spelling of 4901450400 in words is "four billion, nine hundred one million, four hundred fifty thousand, four hundred".