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4283245288 = 237232191757
BaseRepresentation
bin1111111101001101…
…0010001011101000
3102001111200101221101
43333103102023220
532233002322123
61545004451144
7211066661410
oct37723221350
912044611841
104283245288
1118a8864643
129b6549ab4
1353350428a
142c8c05640
151a1074aad
hexff4d22e8

4283245288 has 96 divisors (see below), whose sum is σ = 9657768960. Its totient is φ = 1744364160.

The previous prime is 4283245283. The next prime is 4283245301. The reversal of 4283245288 is 8825423824.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (4283245283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5657806 + ... + 5658562.

It is an arithmetic number, because the mean of its divisors is an integer number (100601760).

Almost surely, 24283245288 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 4283245288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828884480).

4283245288 is an abundant number, since it is smaller than the sum of its proper divisors (5374523672).

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

4283245288 is a wasteful number, since it uses less digits than its factorization.

4283245288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 980 counting only the distinct ones).

The product of its digits is 983040, while the sum is 46.

The square root of 4283245288 is about 65446.5070725703. The cubic root of 4283245288 is about 1624.0185363945.

It can be divided in two parts, 4283 and 245288, that added together give a triangular number (249571 = T706).

The spelling of 4283245288 in words is "four billion, two hundred eighty-three million, two hundred forty-five thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 191 322 382 529 644 757 764 1058 1288 1337 1514 1528 2116 2674 3028 3703 4232 4393 5299 5348 6056 7406 8786 10598 10696 14812 17411 17572 21196 29624 30751 34822 35144 42392 61502 69644 101039 121877 123004 139288 144587 202078 243754 246008 289174 400453 404156 487508 578348 707273 800906 808312 975016 1012109 1156696 1414546 1601812 2024218 2803171 2829092 3203624 3325501 4048436 5606342 5658184 6651002 8096872 11212684 13302004 22425368 23278507 26604008 46557014 76486523 93114028 152973046 186228056 305946092 535405661 611892184 1070811322 2141622644 4283245288