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648997344 = 25322937691
BaseRepresentation
bin100110101011101…
…110100111100000
31200020012110222200
4212223232213200
52312120403334
6144222133200
722040246352
oct4653564740
91606173880
10648997344
11303384346
12161421200
13a45c27c8
146229d0d2
153be9a799
hex26aee9e0

648997344 has 72 divisors (see below), whose sum is σ = 1852125912. Its totient is φ = 215566080.

The previous prime is 648997343. The next prime is 648997411. The reversal of 648997344 is 443799846.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648997343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80539 + ... + 88229.

It is an arithmetic number, because the mean of its divisors is an integer number (25723971).

Almost surely, 2648997344 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 648997344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926062956).

648997344 is an abundant number, since it is smaller than the sum of its proper divisors (1203128568).

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

648997344 is a wasteful number, since it uses less digits than its factorization.

648997344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8000 (or 7989 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 648997344 is about 25475.4262771008. The cubic root of 648997344 is about 865.7934710806.

The spelling of 648997344 in words is "six hundred forty-eight million, nine hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 293 586 879 1172 1758 2344 2637 3516 4688 5274 7032 7691 9376 10548 14064 15382 21096 23073 28128 30764 42192 46146 61528 69219 84384 92292 123056 138438 184584 246112 276876 369168 553752 738336 1107504 2215008 2253463 4506926 6760389 9013852 13520778 18027704 20281167 27041556 36055408 40562334 54083112 72110816 81124668 108166224 162249336 216332448 324498672 648997344