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649538400 = 25352723412
BaseRepresentation
bin100110101101110…
…010101101100000
31200021012222011210
4212231302231200
52312240212100
6144241510120
722044661650
oct4655625540
91607188153
10649538400
113037138a5
12161642340
13a4751b64
14623a0360
153c055c50
hex26b72b60

649538400 has 432 divisors, whose sum is σ = 2584334592. Its totient is φ = 138547200.

The previous prime is 649538387. The next prime is 649538411. The reversal of 649538400 is 4835946.

649538400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 15842380 + ... + 15842420.

It is an arithmetic number, because the mean of its divisors is an integer number (5982256).

Almost surely, 2649538400 is an apocalyptic number.

649538400 is a gapful number since it is divisible by the number (60) 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 649538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292167296).

649538400 is an abundant number, since it is smaller than the sum of its proper divisors (1934796192).

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

649538400 is a wasteful number, since it uses less digits than its factorization.

649538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 649538400 is about 25486.0432393889. The cubic root of 649538400 is about 866.0340024376.

The spelling of 649538400 in words is "six hundred forty-nine million, five hundred thirty-eight thousand, four hundred".