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1004424444 = 2232234328211
BaseRepresentation
bin111011110111100…
…100110011111100
32121000000001022100
4323313210303330
54024113040234
6243400145100
733614316102
oct7367446374
92530001270
101004424444
11475a75a51
12240468190
13130128cba
149757dc72
155d2a7399
hex3bde4cfc

1004424444 has 72 divisors (see below), whose sum is σ = 2711060352. Its totient is φ = 312792480.

The previous prime is 1004424439. The next prime is 1004424479. The reversal of 1004424444 is 4444244001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21499 + ... + 49709.

It is an arithmetic number, because the mean of its divisors is an integer number (37653616).

Almost surely, 21004424444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004424444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355530176).

1004424444 is an abundant number, since it is smaller than the sum of its proper divisors (1706635908).

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

1004424444 is a wasteful number, since it uses less digits than its factorization.

1004424444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28287 (or 28282 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 1004424444 is about 31692.6559947253. The cubic root of 1004424444 is about 1001.4726449190.

Adding to 1004424444 its reverse (4444244001), we get a palindrome (5448668445).

The spelling of 1004424444 in words is "one billion, four million, four hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 43 46 69 86 92 129 138 172 207 258 276 387 414 516 774 828 989 1548 1978 2967 3956 5934 8901 11868 17802 28211 35604 56422 84633 112844 169266 253899 338532 507798 648853 1015596 1213073 1297706 1946559 2426146 2595412 3639219 3893118 4852292 5839677 7278438 7786236 10917657 11679354 14556876 21835314 23358708 27900679 43670628 55801358 83702037 111602716 167404074 251106111 334808148 502212222 1004424444