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444104052 = 22373107897
BaseRepresentation
bin11010011110000…
…111110101110100
31010221122211020020
4122132013311310
51402142312202
6112022405140
714001552000
oct3236076564
91127584206
10444104052
11208759a47
121048907b0
1371014182
1442da5700
1528ec65bc
hex1a787d74

444104052 has 48 divisors (see below), whose sum is σ = 1208457600. Its totient is φ = 126885696.

The previous prime is 444104021. The next prime is 444104053. The reversal of 444104052 is 250401444.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444104053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49833 + ... + 58064.

It is an arithmetic number, because the mean of its divisors is an integer number (25176200).

Almost surely, 2444104052 is an apocalyptic number.

444104052 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

444104052 is an abundant number, since it is smaller than the sum of its proper divisors (764353548).

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

444104052 is a wasteful number, since it uses less digits than its factorization.

444104052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107925 (or 107909 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 444104052 is about 21073.7764057608. The cubic root of 444104052 is about 762.9479525701.

Adding to 444104052 its reverse (250401444), we get a palindrome (694505496).

The spelling of 444104052 in words is "four hundred forty-four million, one hundred four thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 4116 107897 215794 323691 431588 647382 755279 1294764 1510558 2265837 3021116 4531674 5286953 9063348 10573906 15860859 21147812 31721718 37008671 63443436 74017342 111026013 148034684 222052026 444104052