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4807309824 = 293538639
BaseRepresentation
bin1000111101000100…
…11011101000000000
3110102000210122100000
410132202123220000
534321132403244
62113005200000
7230062313352
oct43642335000
913360718300
104807309824
112047668029
12b21b60000
135b7c63835
143386630d2
151d2093169
hex11e89ba00

4807309824 has 120 divisors (see below), whose sum is σ = 14388454080. Its totient is φ = 1602395136.

The previous prime is 4807309799. The next prime is 4807309853. The reversal of 4807309824 is 4289037084.

It is a super-3 number, since 3×48073098243 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4807309824.

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 11 ways as a sum of consecutive naturals, for example, 105097 + ... + 143735.

It is an arithmetic number, because the mean of its divisors is an integer number (119903784).

Almost surely, 24807309824 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 4807309824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7194227040).

4807309824 is an abundant number, since it is smaller than the sum of its proper divisors (9581144256).

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

4807309824 is an frugal number, since it uses more digits than its factorization.

4807309824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38672 (or 38644 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4807309824 is about 69334.7663441653. The cubic root of 4807309824 is about 1687.7211941162.

The spelling of 4807309824 in words is "four billion, eight hundred seven million, three hundred nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1536 1728 1944 2304 2592 3456 3888 4608 5184 6912 7776 10368 13824 15552 20736 31104 38639 41472 62208 77278 115917 124416 154556 231834 309112 347751 463668 618224 695502 927336 1043253 1236448 1391004 1854672 2086506 2472896 2782008 3129759 3709344 4173012 4945792 5564016 6259518 7418688 8346024 9389277 9891584 11128032 12519036 14837376 16692048 18778554 19783168 22256064 25038072 29674752 33384096 37557108 44512128 50076144 59349504 66768192 75114216 89024256 100152288 133536384 150228432 178048512 200304576 267072768 300456864 400609152 534145536 600913728 801218304 1201827456 1602436608 2403654912 4807309824