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4494400 = 2652532
BaseRepresentation
bin10001001001010001000000
322110100011021
4101021101000
52122310100
6240155224
753126131
oct21112100
98410137
104494400
11259a789
121608b14
13c14911
1484dc88
155dba1a
hex449440

4494400 has 63 divisors (see below), whose sum is σ = 11271631. Its totient is φ = 1763840.

The previous prime is 4494383. The next prime is 4494401. The reversal of 4494400 is 44944.

The square root of 4494400 is 2120.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 33856 + 4460544 = 184^2 + 2112^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4494401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 84774 + ... + 84826.

Almost surely, 24494400 is an apocalyptic number.

4494400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4494400 is the 2120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4494400

4494400 is an abundant number, since it is smaller than the sum of its proper divisors (6777231).

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

4494400 is an equidigital number, since it uses as much as digits as its factorization.

4494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The cubic root of 4494400 is about 165.0278495997.

Multiplying 4494400 by its sum of digits (25), we get a square (112360000 = 106002).

4494400 divided by its sum of digits (25) gives a square (179776 = 4242).

Multiplying 4494400 by its product of nonzero digits (2304), we get a square (10355097600 = 1017602).

Multiplying 4494400 by its reverse (44944), we get a square (201996313600 = 4494402).

4494400 divided by its reverse (44944) gives a square (100 = 102).

The spelling of 4494400 in words is "four million, four hundred ninety-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 64 80 100 106 160 200 212 265 320 400 424 530 800 848 1060 1325 1600 1696 2120 2650 2809 3392 4240 5300 5618 8480 10600 11236 14045 16960 21200 22472 28090 42400 44944 56180 70225 84800 89888 112360 140450 179776 224720 280900 449440 561800 898880 1123600 2247200 4494400