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1004412444 = 223795312547
BaseRepresentation
bin111011110111100…
…001111000011100
32120222222102211220
4323313201320130
54024112144234
6243400013340
733614236110
oct7367417034
92528872756
101004412444
11475a67a32
12240461250
131301236b9
1497579740
155d2a3a49
hex3bde1e1c

1004412444 has 48 divisors (see below), whose sum is σ = 2681457408. Its totient is φ = 286651008.

The previous prime is 1004412421. The next prime is 1004412457. The reversal of 1004412444 is 4442144001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73779 + ... + 86325.

It is an arithmetic number, because the mean of its divisors is an integer number (55863696).

Almost surely, 21004412444 is an apocalyptic number.

1004412444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1004412444 is an abundant number, since it is smaller than the sum of its proper divisors (1677044964).

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

1004412444 is a wasteful number, since it uses less digits than its factorization.

1004412444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13514 (or 13512 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1004412444 is about 31692.4666758522. The cubic root of 1004412444 is about 1001.4686566583.

Adding to 1004412444 its reverse (4442144001), we get a palindrome (5446556445).

The spelling of 1004412444 in words is "one billion, four million, four hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 953 1906 2859 3812 5718 6671 11436 12547 13342 20013 25094 26684 37641 40026 50188 75282 80052 87829 150564 175658 263487 351316 526974 1053948 11957291 23914582 35871873 47829164 71743746 83701037 143487492 167402074 251103111 334804148 502206222 1004412444