Search a number
-
+
648935424 = 211321719109
BaseRepresentation
bin100110101011011…
…111100000000000
31200020002100001100
4212223133200000
52312111413144
6144220534400
722036601004
oct4653374000
91606070040
10648935424
11303341875
121613b1400
13a45a0577
1462284704
153be87269
hex26adf800

648935424 has 288 divisors, whose sum is σ = 2108106000. Its totient is φ = 191102976.

The previous prime is 648935411. The next prime is 648935473. The reversal of 648935424 is 424539846.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6489354242 = 842234369044119552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 648935424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5953482 + ... + 5953590.

Almost surely, 2648935424 is an apocalyptic number.

648935424 is a gapful number since it is divisible by the number (64) 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 648935424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054053000).

648935424 is an abundant number, since it is smaller than the sum of its proper divisors (1459170576).

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

648935424 is a wasteful number, since it uses less digits than its factorization.

648935424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 150 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 648935424 is about 25474.2109593212. The cubic root of 648935424 is about 865.7659354585.

The spelling of 648935424 in words is "six hundred forty-eight million, nine hundred thirty-five thousand, four hundred twenty-four".