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1648316348 = 227197342443
BaseRepresentation
bin110001000111111…
…0100111110111100
311020212121010221122
41202033310332330
511333432110343
6431321050112
755563313010
oct14217647674
94225533848
101648316348
11776482518
123a0026938
13203651a23
14118cb0540
1599a95068
hex623f4fbc

1648316348 has 48 divisors (see below), whose sum is σ = 3517758720. Its totient is φ = 660057984.

The previous prime is 1648316303. The next prime is 1648316357. The reversal of 1648316348 is 8436138461.

It is a junction number, because it is equal to n+sod(n) for n = 1648316299 and 1648316308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17615 + ... + 60057.

It is an arithmetic number, because the mean of its divisors is an integer number (73286640).

Almost surely, 21648316348 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 1648316348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758879360).

1648316348 is an abundant number, since it is smaller than the sum of its proper divisors (1869442372).

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

1648316348 is a wasteful number, since it uses less digits than its factorization.

1648316348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42546 (or 42544 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The square root of 1648316348 is about 40599.4624102340. The cubic root of 1648316348 is about 1181.2636916827.

The spelling of 1648316348 in words is "one billion, six hundred forty-eight million, three hundred sixteen thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 19 28 38 73 76 133 146 266 292 511 532 1022 1387 2044 2774 5548 9709 19418 38836 42443 84886 169772 297101 594202 806417 1188404 1612834 3098339 3225668 5644919 6196678 11289838 12393356 21688373 22579676 43376746 58868441 86753492 117736882 235473764 412079087 824158174 1648316348