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649782432 = 253313174183
BaseRepresentation
bin100110101110101…
…110010010100000
31200021200100221000
4212232232102200
52312321014212
6144251032000
722050026265
oct4656562240
91607610830
10649782432
11303870182
1216173b600
13a4808c60
146242526c
153c0a31dc
hex26bae4a0

649782432 has 384 divisors, whose sum is σ = 2240421120. Its totient is φ = 181370880.

The previous prime is 649782421. The next prime is 649782437. The reversal of 649782432 is 234287946.

It is not an unprimeable number, because it can be changed into a prime (649782437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7828663 + ... + 7828745.

It is an arithmetic number, because the mean of its divisors is an integer number (5834430).

Almost surely, 2649782432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649782432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120210560).

649782432 is an abundant number, since it is smaller than the sum of its proper divisors (1590638688).

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

649782432 is a wasteful number, since it uses less digits than its factorization.

649782432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 649782432 is about 25490.8303513244. The cubic root of 649782432 is about 866.1424453710.

The spelling of 649782432 in words is "six hundred forty-nine million, seven hundred eighty-two thousand, four hundred thirty-two".