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2084852736 = 2103375407
BaseRepresentation
bin111110001000100…
…0101010000000000
312101022000111022000
41330101011100000
513232210241421
6542513344000
7102443645601
oct17421052000
95338014260
102084852736
1197a93279a
124a2268000
13272c16495
1415ac65da8
15c3074226
hex7c445400

2084852736 has 88 divisors (see below), whose sum is σ = 6174407040. Its totient is φ = 694941696.

The previous prime is 2084852689. The next prime is 2084852741. The reversal of 2084852736 is 6372584802.

It is a super-2 number, since 2×20848527362 = 8693221861613371392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2084852691 and 2084852700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10056 + ... + 65351.

Almost surely, 22084852736 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 2084852736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087203520).

2084852736 is an abundant number, since it is smaller than the sum of its proper divisors (4089554304).

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

2084852736 is an equidigital number, since it uses as much as digits as its factorization.

2084852736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75436 (or 75412 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2084852736 is about 45660.1876474462. The cubic root of 2084852736 is about 1277.4928005640.

The spelling of 2084852736 in words is "two billion, eighty-four million, eight hundred fifty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 6912 9216 13824 27648 75407 150814 226221 301628 452442 603256 678663 904884 1206512 1357326 1809768 2035989 2413024 2714652 3619536 4071978 4826048 5429304 7239072 8143956 9652096 10858608 14478144 16287912 19304192 21717216 28956288 32575824 38608384 43434432 57912576 65151648 77216768 86868864 115825152 130303296 173737728 231650304 260606592 347475456 521213184 694950912 1042426368 2084852736