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4564368 = 2432291093
BaseRepresentation
bin10001011010010110010000
322120220010200
4101122112100
52132024433
6241455200
753540124
oct21322620
98526120
104564368
112638306
121641500
13c3a713
1486b584
15602613
hex45a590

4564368 has 60 divisors (see below), whose sum is σ = 13226460. Its totient is φ = 1467648.

The previous prime is 4564367. The next prime is 4564369. The reversal of 4564368 is 8634654.

4564368 is a `hidden beast` number, since 4 + 5 + 643 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4564367) and next prime (4564369).

It can be written as a sum of positive squares in 2 ways, for example, as 3732624 + 831744 = 1932^2 + 912^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4564363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3630 + ... + 4722.

It is an arithmetic number, because the mean of its divisors is an integer number (220441).

Almost surely, 24564368 is an apocalyptic number.

4564368 is a gapful number since it is divisible by the number (48) 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 4564368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6613230).

4564368 is an abundant number, since it is smaller than the sum of its proper divisors (8662092).

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

4564368 is a wasteful number, since it uses less digits than its factorization.

4564368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1127 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 4564368 is about 2136.4381573076. The cubic root of 4564368 is about 165.8798181737.

The spelling of 4564368 in words is "four million, five hundred sixty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1093 1392 2088 2186 3279 4176 4372 6558 8744 9837 13116 17488 19674 26232 31697 39348 52464 63394 78696 95091 126788 157392 190182 253576 285273 380364 507152 570546 760728 1141092 1521456 2282184 4564368