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4465000 = 23541947
BaseRepresentation
bin10001000010000101101000
322101211211101
4101002011220
52120340000
6235411144
752644331
oct21020550
98354741
104465000
11257a691
1215b3ab4
13c04417
14843288
155d2e6a
hex442168

4465000 has 80 divisors (see below), whose sum is σ = 11246400. Its totient is φ = 1656000.

The previous prime is 4464983. The next prime is 4465009. The reversal of 4465000 is 5644.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (4465009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94977 + ... + 95023.

It is an arithmetic number, because the mean of its divisors is an integer number (140580).

Almost surely, 24465000 is an apocalyptic number.

4465000 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 4465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5623200).

4465000 is an abundant number, since it is smaller than the sum of its proper divisors (6781400).

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

4465000 is a wasteful number, since it uses less digits than its factorization.

4465000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4465000 is about 2113.0546609115. The cubic root of 4465000 is about 164.6672203172.

The spelling of 4465000 in words is "four million, four hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 47 50 76 94 95 100 125 152 188 190 200 235 250 376 380 470 475 500 625 760 893 940 950 1000 1175 1250 1786 1880 1900 2350 2375 2500 3572 3800 4465 4700 4750 5000 5875 7144 8930 9400 9500 11750 11875 17860 19000 22325 23500 23750 29375 35720 44650 47000 47500 58750 89300 95000 111625 117500 178600 223250 235000 446500 558125 893000 1116250 2232500 4465000