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2386459068 = 2237294312273
BaseRepresentation
bin1000111000111110…
…0111100110111100
320011022112200101220
42032033213212330
514341413142233
61032450033340
7113065365420
oct21617474674
96138480356
102386459068
111015104024
12567278850
132c0557476
14188d36b80
15de79deb3
hex8e3e79bc

2386459068 has 96 divisors (see below), whose sum is σ = 6601512960. Its totient is φ = 656517120.

The previous prime is 2386459063. The next prime is 2386459069. The reversal of 2386459068 is 8609546832.

It is a self number, because there is not a number n which added to its sum of digits gives 2386459068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2386459063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1048780 + ... + 1051052.

It is an arithmetic number, because the mean of its divisors is an integer number (68765760).

Almost surely, 22386459068 is an apocalyptic number.

2386459068 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 2386459068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300756480).

2386459068 is an abundant number, since it is smaller than the sum of its proper divisors (4215053892).

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

2386459068 is a wasteful number, since it uses less digits than its factorization.

2386459068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The square root of 2386459068 is about 48851.3978100934. The cubic root of 2386459068 is about 1336.3431647128.

The spelling of 2386459068 in words is "two billion, three hundred eighty-six million, four hundred fifty-nine thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 431 609 812 862 1218 1293 1724 2273 2436 2586 3017 4546 5172 6034 6819 9051 9092 12068 12499 13638 15911 18102 24998 27276 31822 36204 37497 47733 49996 63644 65917 74994 87493 95466 131834 149988 174986 190932 197751 262479 263668 349972 395502 461419 524958 791004 922838 979663 1049916 1384257 1845676 1959326 2768514 2938989 3918652 5537028 5877978 6857641 11755956 13715282 20572923 27430564 28410227 41145846 56820454 82291692 85230681 113640908 170461362 198871589 340922724 397743178 596614767 795486356 1193229534 2386459068