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4541064 = 23311103167
BaseRepresentation
bin10001010100101010001000
322112201011120
4101110222020
52130303224
6241155240
753412153
oct21245210
98481146
104541064
112621850
12162bb20
13c2cc28
14862c9a
155ea779
hex454a88

4541064 has 64 divisors (see below), whose sum is σ = 12579840. Its totient is φ = 1354560.

The previous prime is 4541063. The next prime is 4541071. The reversal of 4541064 is 4601454.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4541063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27109 + ... + 27275.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 24541064 is an apocalyptic number.

4541064 is a gapful number since it is divisible by the number (44) 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 4541064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289920).

4541064 is an abundant number, since it is smaller than the sum of its proper divisors (8038776).

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

4541064 is a wasteful number, since it uses less digits than its factorization.

4541064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4541064 is about 2130.9772406105. The cubic root of 4541064 is about 165.5970290489.

The spelling of 4541064 in words is "four million, five hundred forty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 132 167 206 264 309 334 412 501 618 668 824 1002 1133 1236 1336 1837 2004 2266 2472 3399 3674 4008 4532 5511 6798 7348 9064 11022 13596 14696 17201 22044 27192 34402 44088 51603 68804 103206 137608 189211 206412 378422 412824 567633 756844 1135266 1513688 2270532 4541064