Search a number
-
+
1002042444 = 2231319477193
BaseRepresentation
bin111011101110011…
…111010001001100
32120211112000211010
4323232133101030
54023010324234
6243233125220
733555135354
oct7356372114
92524460733
101002042444
11474699357
1223b6b9810
1312c7a3a30
149711db64
155ce866e9
hex3bb9f44c

1002042444 has 96 divisors (see below), whose sum is σ = 2707246080. Its totient is φ = 285838848.

The previous prime is 1002042439. The next prime is 1002042467. The reversal of 1002042444 is 4442402001.

It is a self number, because there is not a number n which added to its sum of digits gives 1002042444.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135712 + ... + 142904.

It is an arithmetic number, because the mean of its divisors is an integer number (28200480).

Almost surely, 21002042444 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 1002042444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353623040).

1002042444 is an abundant number, since it is smaller than the sum of its proper divisors (1705203636).

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

1002042444 is a wasteful number, since it uses less digits than its factorization.

1002042444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7279 (or 7277 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 1002042444 is about 31655.0540040607. The cubic root of 1002042444 is about 1000.6803516833.

Adding to 1002042444 its reverse (4442402001), we get a palindrome (5444444445).

The spelling of 1002042444 in words is "one billion, two million, forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 47 52 57 76 78 94 114 141 156 188 228 247 282 494 564 611 741 893 988 1222 1482 1786 1833 2444 2679 2964 3572 3666 5358 7193 7332 10716 11609 14386 21579 23218 28772 34827 43158 46436 69654 86316 93509 136667 139308 187018 273334 280527 338071 374036 410001 546668 561054 676142 820002 1014213 1122108 1352284 1640004 1776671 2028426 3553342 4056852 4394923 5330013 6423349 7106684 8789846 10660026 12846698 13184769 17579692 19270047 21320052 25693396 26369538 38540094 52739076 77080188 83503537 167007074 250510611 334014148 501021222 1002042444