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1004124224 = 26311015011
BaseRepresentation
bin111011110110011…
…011100001000000
32120222102210111002
4323312123201000
54024023433344
6243345511132
733611625605
oct7366334100
92528383432
101004124224
11475890434
122403424a8
1313005245c
14975026ac
155d24844e
hex3bd9b840

1004124224 has 56 divisors (see below), whose sum is σ = 2077614336. Its totient is φ = 480960000.

The previous prime is 1004124211. The next prime is 1004124229. The reversal of 1004124224 is 4224214001.

1004124224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1004124196 and 1004124205.

It is not an unprimeable number, because it can be changed into a prime (1004124229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197879 + ... + 202889.

It is an arithmetic number, because the mean of its divisors is an integer number (37100256).

Almost surely, 21004124224 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 1004124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038807168).

1004124224 is an abundant number, since it is smaller than the sum of its proper divisors (1073490112).

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

1004124224 is a wasteful number, since it uses less digits than its factorization.

1004124224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5155 (or 5145 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1004124224 is about 31687.9192122171. The cubic root of 1004124224 is about 1001.3728557380.

Adding to 1004124224 its reverse (4224214001), we get a palindrome (5228338225).

The spelling of 1004124224 in words is "one billion, four million, one hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 101 124 202 248 404 496 808 992 1616 1984 3131 3232 5011 6262 6464 10022 12524 20044 25048 40088 50096 80176 100192 155341 160352 200384 310682 320704 506111 621364 1012222 1242728 2024444 2485456 4048888 4970912 8097776 9941824 15689441 16195552 31378882 32391104 62757764 125515528 251031056 502062112 1004124224