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2857021824 = 27343712437
BaseRepresentation
bin1010101001001010…
…1011000110000000
321101002222202011010
42222102223012000
521322344144244
61151255520520
7130541166456
oct25222530600
97332882133
102857021824
111236794868
12678989140
13366ba3777
141d16289d6
1511ac4eeb9
hexaa4ab180

2857021824 has 128 divisors (see below), whose sum is σ = 7878055680. Its totient is φ = 916715520.

The previous prime is 2857021813. The next prime is 2857021829. The reversal of 2857021824 is 4281207582.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2857021829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1171134 + ... + 1173570.

It is an arithmetic number, because the mean of its divisors is an integer number (61547310).

Almost surely, 22857021824 is an apocalyptic number.

2857021824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2857021824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939027840).

2857021824 is an abundant number, since it is smaller than the sum of its proper divisors (5021033856).

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

2857021824 is a wasteful number, since it uses less digits than its factorization.

2857021824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 2857021824 is about 53451.1162091120. The cubic root of 2857021824 is about 1418.9633748849.

The spelling of 2857021824 in words is "two billion, eight hundred fifty-seven million, twenty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 71 86 96 128 129 142 172 192 213 258 284 344 384 426 516 568 688 852 1032 1136 1376 1704 2064 2272 2437 2752 3053 3408 4128 4544 4874 5504 6106 6816 7311 8256 9088 9159 9748 12212 13632 14622 16512 18318 19496 24424 27264 29244 36636 38992 48848 58488 73272 77984 97696 104791 116976 146544 155968 173027 195392 209582 233952 293088 311936 314373 346054 390784 419164 467904 519081 586176 628746 692108 838328 935808 1038162 1172352 1257492 1384216 1676656 2076324 2514984 2768432 3353312 4152648 5029968 5536864 6706624 7440161 8305296 10059936 11073728 13413248 14880322 16610592 20119872 22147456 22320483 29760644 33221184 40239744 44640966 59521288 66442368 89281932 119042576 178563864 238085152 357127728 476170304 714255456 952340608 1428510912 2857021824