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5248380928 = 21271631123
BaseRepresentation
bin1001110001101001…
…11111000000000000
3111112202202101010211
410320310333000000
541222041142203
62224443003504
7244026334060
oct47064770000
914482671124
105248380928
1122536352aa
121025809594
1365845535b
1437b0793a0
1520ab6ac6d
hex138d3f000

5248380928 has 104 divisors (see below), whose sum is σ = 12079169408. Its totient is φ = 2233516032.

The previous prime is 5248380919. The next prime is 5248380961. The reversal of 5248380928 is 8290838425.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 4672975 + ... + 4674097.

Almost surely, 25248380928 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 5248380928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039584704).

5248380928 is an abundant number, since it is smaller than the sum of its proper divisors (6830788480).

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

5248380928 is a wasteful number, since it uses less digits than its factorization.

5248380928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

The square root of 5248380928 is about 72445.7102111643. The cubic root of 5248380928 is about 1737.8346393939.

The spelling of 5248380928 in words is "five billion, two hundred forty-eight million, three hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 163 224 256 326 448 512 652 896 1024 1123 1141 1304 1792 2048 2246 2282 2608 3584 4096 4492 4564 5216 7168 7861 8984 9128 10432 14336 15722 17968 18256 20864 28672 31444 35936 36512 41728 62888 71872 73024 83456 125776 143744 146048 166912 183049 251552 287488 292096 333824 366098 503104 574976 584192 667648 732196 1006208 1149952 1168384 1281343 1464392 2012416 2299904 2336768 2562686 2928784 4024832 4599808 4673536 5125372 5857568 8049664 10250744 11715136 16099328 20501488 23430272 32198656 41002976 46860544 82005952 93721088 164011904 187442176 328023808 374884352 656047616 749768704 1312095232 2624190464 5248380928