Search a number
-
+
1001003828 = 2211192834231
BaseRepresentation
bin111011101010100…
…001101100110100
32120202120021002212
4323222201230310
54022224110303
6243154552552
733543251336
oct7352415464
92522507085
101001003828
11474049aa0
1223b298758
1312c4cc076
1496d2d456
155cd2dad8
hex3baa1b34

1001003828 has 48 divisors (see below), whose sum is σ = 2019171840. Its totient is φ = 429429600.

The previous prime is 1001003827. The next prime is 1001003873. The reversal of 1001003828 is 8283001001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001003827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234473 + ... + 238703.

It is an arithmetic number, because the mean of its divisors is an integer number (42066080).

Almost surely, 21001003828 is an apocalyptic number.

It is an amenable number.

1001003828 is an abundant number, since it is smaller than the sum of its proper divisors (1018168012).

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

1001003828 is a wasteful number, since it uses less digits than its factorization.

1001003828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4548 (or 4546 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 1001003828 is about 31638.6445348090. The cubic root of 1001003828 is about 1000.3344974323.

Adding to 1001003828 its reverse (8283001001), we get a palindrome (9284004829).

The spelling of 1001003828 in words is "one billion, one million, three thousand, eight hundred twenty-eight".

Divisors: 1 2 4 11 19 22 38 44 76 209 283 418 566 836 1132 3113 4231 5377 6226 8462 10754 12452 16924 21508 46541 59147 80389 93082 118294 160778 186164 236588 321556 884279 1197373 1768558 2394746 3537116 4789492 13171103 22750087 26342206 45500174 52684412 91000348 250250957 500501914 1001003828