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4283324640 = 253257735821
BaseRepresentation
bin1111111101001110…
…0101100011100000
3102001111211102210100
43333103211203200
532233012342030
61545010302400
7211100441640
oct37723454340
912044742710
104283324640
1118a8909221
129b6587a00
1353353142a
142c8c26520
151a108d360
hexff4e58e0

4283324640 has 288 divisors, whose sum is σ = 16936710336. Its totient is φ = 965468160.

The previous prime is 4283324629. The next prime is 4283324663. The reversal of 4283324640 is 464233824.

4283324640 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 3 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×42833246402 = 36693739943262259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4283324595 and 4283324604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 732930 + ... + 738750.

It is an arithmetic number, because the mean of its divisors is an integer number (58808022).

Almost surely, 24283324640 is an apocalyptic number.

4283324640 is a gapful number since it is divisible by the number (40) 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 4283324640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8468355168).

4283324640 is an abundant number, since it is smaller than the sum of its proper divisors (12653385696).

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

4283324640 is a wasteful number, since it uses less digits than its factorization.

4283324640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5922 (or 5911 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 4283324640 is about 65447.1133053246. The cubic root of 4283324640 is about 1624.0285652639.

The spelling of 4283324640 in words is "four billion, two hundred eighty-three million, three hundred twenty-four thousand, six hundred forty".