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2043823768 = 2371989113191
BaseRepresentation
bin111100111010010…
…0100011010011000
312021102211000010121
41321310210122120
513141204330033
6534450123024
7101435133610
oct17164443230
95242730117
102043823768
1195975a058
12490580474
1326757c49c
14155625a40
15be66c62d
hex79d24698

2043823768 has 128 divisors (see below), whose sum is σ = 4727808000. Its totient is φ = 808980480.

The previous prime is 2043823763. The next prime is 2043823777. The reversal of 2043823768 is 8673283402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2043823763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10700553 + ... + 10700743.

It is an arithmetic number, because the mean of its divisors is an integer number (36936000).

Almost surely, 22043823768 is an apocalyptic number.

2043823768 is a gapful number since it is divisible by the number (28) 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 2043823768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363904000).

2043823768 is an abundant number, since it is smaller than the sum of its proper divisors (2683984232).

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

2043823768 is a wasteful number, since it uses less digits than its factorization.

2043823768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The square root of 2043823768 is about 45208.6691686451. The cubic root of 2043823768 is about 1269.0570568972.

The spelling of 2043823768 in words is "two billion, forty-three million, eight hundred twenty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 89 113 133 152 178 191 226 266 356 382 452 532 623 712 764 791 904 1064 1246 1337 1528 1582 1691 2147 2492 2674 3164 3382 3629 4294 4984 5348 6328 6764 7258 8588 10057 10696 11837 13528 14516 15029 16999 17176 20114 21583 23674 25403 29032 30058 33998 40228 43166 47348 50806 60116 67996 70399 80456 86332 94696 101612 118993 120232 135992 140798 151081 172664 191083 203224 237986 281596 302162 322981 382166 410077 475972 563192 604324 645962 764332 820154 951944 1208648 1291924 1337581 1528664 1640308 1920887 2260867 2583848 2675162 2870539 3280616 3841774 4521734 5350324 5741078 7683548 9043468 10700648 11482156 13446209 15367096 18086936 22964312 26892418 36496853 53784836 72993706 107569672 145987412 255477971 291974824 510955942 1021911884 2043823768