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4068282432 = 263199711497
BaseRepresentation
bin1111001001111101…
…0001000001000000
3101111112012011100010
43302133101001000
531312440014212
61511405224520
7202546554504
oct36237210100
911445164303
104068282432
1117a8491895
12956562140
134cab0b516
142a844a304
1518c26203c
hexf27d1040

4068282432 has 112 divisors (see below), whose sum is σ = 11448328640. Its totient is φ = 1271365632.

The previous prime is 4068282431. The next prime is 4068282443. The reversal of 4068282432 is 2342828604.

It is not an unprimeable number, because it can be changed into a prime (4068282431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348108 + ... + 359604.

It is an arithmetic number, because the mean of its divisors is an integer number (102217220).

Almost surely, 24068282432 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 4068282432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5724164320).

4068282432 is an abundant number, since it is smaller than the sum of its proper divisors (7380046208).

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

4068282432 is a wasteful number, since it uses less digits than its factorization.

4068282432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11628 (or 11618 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 4068282432 is about 63783.0889186154. The cubic root of 4068282432 is about 1596.3827701093.

The spelling of 4068282432 in words is "four billion, sixty-eight million, two hundred eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 97 114 152 192 194 228 291 304 388 456 582 608 776 912 1164 1216 1552 1824 1843 2328 3104 3648 3686 4656 5529 6208 7372 9312 11058 11497 14744 18624 22116 22994 29488 34491 44232 45988 58976 68982 88464 91976 117952 137964 176928 183952 218443 275928 353856 367904 436886 551856 655329 735808 873772 1103712 1115209 1310658 1747544 2207424 2230418 2621316 3345627 3495088 4460836 5242632 6691254 6990176 8921672 10485264 13382508 13980352 17843344 20970528 21188971 26765016 35686688 41941056 42377942 53530032 63566913 71373376 84755884 107060064 127133826 169511768 214120128 254267652 339023536 508535304 678047072 1017070608 1356094144 2034141216 4068282432