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283027668 = 2237111571951
BaseRepresentation
bin10000110111101…
…010100011010100
3201201120021222020
4100313222203110
51034423341133
644030133140
710004460360
oct2067524324
9651507866
10283027668
11135841970
127a9511b0
13468377c1
14298362a0
1519caa0b3
hex10dea8d4

283027668 has 96 divisors (see below), whose sum is σ = 829022208. Its totient is φ = 73008000.

The previous prime is 283027651. The next prime is 283027669. The reversal of 283027668 is 866720382.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283027669) 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, 144093 + ... + 146043.

It is an arithmetic number, because the mean of its divisors is an integer number (8635648).

Almost surely, 2283027668 is an apocalyptic number.

283027668 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 283027668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414511104).

283027668 is an abundant number, since it is smaller than the sum of its proper divisors (545994540).

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

283027668 is a wasteful number, since it uses less digits than its factorization.

283027668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 283027668 is about 16823.4261671040. The cubic root of 283027668 is about 656.5628380193.

The spelling of 283027668 in words is "two hundred eighty-three million, twenty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 157 231 308 314 462 471 628 924 942 1099 1727 1884 1951 2198 3297 3454 3902 4396 5181 5853 6594 6908 7804 10362 11706 12089 13188 13657 20724 21461 23412 24178 27314 36267 40971 42922 48356 54628 64383 72534 81942 85844 128766 145068 150227 163884 257532 300454 306307 450681 600908 612614 901362 918921 1225228 1802724 1837842 2144149 3369377 3675684 4288298 6432447 6738754 8576596 10108131 12864894 13477508 20216262 23585639 25729788 40432524 47171278 70756917 94342556 141513834 283027668