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2102830848 = 2833793851
BaseRepresentation
bin111110101010110…
…1010011100000000
312102112211212122000
41331111222130000
513301311041343
6544354544000
7103052524116
oct17525523400
95375755560
102102830848
11989aa1a38
124a8298000
1327686c511
1415d3c5ab6
15c4925ed3
hex7d56a700

2102830848 has 144 divisors (see below), whose sum is σ = 6298790400. Its totient is φ = 691891200.

The previous prime is 2102830801. The next prime is 2102830883. The reversal of 2102830848 is 8480382012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 544123 + ... + 547973.

It is an arithmetic number, because the mean of its divisors is an integer number (43741600).

Almost surely, 22102830848 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 2102830848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149395200).

2102830848 is an abundant number, since it is smaller than the sum of its proper divisors (4195959552).

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

2102830848 is an equidigital number, since it uses as much as digits as its factorization.

2102830848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2102830848 is about 45856.6336313515. The cubic root of 2102830848 is about 1281.1543232843.

The spelling of 2102830848 in words is "two billion, one hundred two million, eight hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 128 144 158 192 216 237 256 288 316 384 432 474 576 632 711 768 864 948 1152 1264 1422 1728 1896 2133 2304 2528 2844 3456 3792 3851 4266 5056 5688 6912 7584 7702 8532 10112 11376 11553 15168 15404 17064 20224 22752 23106 30336 30808 34128 34659 45504 46212 60672 61616 68256 69318 91008 92424 103977 123232 136512 138636 182016 184848 207954 246464 273024 277272 304229 369696 415908 492928 546048 554544 608458 739392 831816 912687 985856 1109088 1216916 1478784 1663632 1825374 2218176 2433832 2738061 2957568 3327264 3650748 4436352 4867664 5476122 6654528 7301496 8214183 8872704 9735328 10952244 13309056 14602992 16428366 19470656 21904488 26618112 29205984 32856732 38941312 43808976 58411968 65713464 77882624 87617952 116823936 131426928 175235904 233647872 262853856 350471808 525707712 700943616 1051415424 2102830848