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2075983832 = 2313217412203
BaseRepresentation
bin111101110111100…
…1111111111011000
312100200022220110002
41323233033333120
513222422440312
6541555312132
7102305366666
oct17357177730
95320286402
102075983832
1197592541a
1249b2ab648
1327112c700
141599d7c36
15c23c14c2
hex7bbcffd8

2075983832 has 96 divisors (see below), whose sum is σ = 4573784880. Its totient is φ = 879390720.

The previous prime is 2075983801. The next prime is 2075983837. The reversal of 2075983832 is 2383895702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2075983837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 941243 + ... + 943445.

Almost surely, 22075983832 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 2075983832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286892440).

2075983832 is an abundant number, since it is smaller than the sum of its proper divisors (2497801048).

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

2075983832 is a wasteful number, since it uses less digits than its factorization.

2075983832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The square root of 2075983832 is about 45562.9655751247. The cubic root of 2075983832 is about 1275.6787531949.

The spelling of 2075983832 in words is "two billion, seventy-five million, nine hundred eighty-three thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 17 26 34 41 52 68 82 104 136 164 169 221 328 338 442 533 676 697 884 1066 1352 1394 1768 2132 2203 2788 2873 4264 4406 5576 5746 6929 8812 9061 11492 13858 17624 18122 22984 27716 28639 36244 37451 55432 57278 72488 74902 90323 114556 117793 149804 180646 229112 235586 299608 361292 372307 471172 486863 722584 744614 942344 973726 1174199 1489228 1535491 1947452 2348398 2978456 3070982 3894904 4696796 6141964 6329219 9393592 12283928 12658438 15264587 19961383 25316876 30529174 39922766 50633752 61058348 79845532 122116696 159691064 259497979 518995958 1037991916 2075983832