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4440200464 = 24725663521
BaseRepresentation
bin1000010001010100…
…00001010100010000
3102110110000112222001
410020222001110100
533043142403324
62012332523344
7215014036600
oct41052012420
912413015861
104440200464
111979417367
12a3b020554
13559b99b6b
143019c0c00
151aec29e44
hex108a81510

4440200464 has 30 divisors (see below), whose sum is σ = 10007443374. Its totient is φ = 1902942720.

The previous prime is 4440200461. The next prime is 4440200467. The reversal of 4440200464 is 4640020444.

It is an interprime number because it is at equal distance from previous prime (4440200461) and next prime (4440200467).

It can be written as a sum of positive squares in only one way, i.e., 3421314064 + 1018886400 = 58492^2 + 31920^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4440200461) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2830977 + ... + 2832544.

Almost surely, 24440200464 is an apocalyptic number.

It is an amenable number.

4440200464 is an abundant number, since it is smaller than the sum of its proper divisors (5567242910).

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

4440200464 is a wasteful number, since it uses less digits than its factorization.

4440200464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5663543 (or 5663530 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 4440200464 is about 66634.8292111565. The cubic root of 4440200464 is about 1643.6178884333.

The spelling of 4440200464 in words is "four billion, four hundred forty million, two hundred thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 5663521 11327042 22654084 39644647 45308168 79289294 90616336 158578588 277512529 317157176 555025058 634314352 1110050116 2220100232 4440200464