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4445885444 = 227211131271249
BaseRepresentation
bin1000010001111111…
…01101010000000100
3102110211201101021212
410020333231100010
533101121313234
62013054430552
7215113255100
oct41077552004
912424641255
104445885444
11198164a5a0
12a40b02458
1355b10a660
14302660900
151b049e5ce
hex108fed404

4445885444 has 144 divisors (see below), whose sum is σ = 10725120000. Its totient is φ = 1585059840.

The previous prime is 4445885419. The next prime is 4445885453.

4445885444 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4445885392 and 4445885401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3558932 + ... + 3560180.

It is an arithmetic number, because the mean of its divisors is an integer number (74480000).

Almost surely, 24445885444 is an apocalyptic number.

4445885444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4445885444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362560000).

4445885444 is an abundant number, since it is smaller than the sum of its proper divisors (6279234556).

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

4445885444 is a wasteful number, since it uses less digits than its factorization.

4445885444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1409 counting only the distinct ones).

The product of its digits is 6553600, while the sum is 50.

The square root of 4445885444 is about 66677.4732874604. The cubic root of 4445885444 is about 1644.3190542117.

The spelling of 4445885444 in words is "four billion, four hundred forty-five million, eight hundred eighty-five thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 127 143 154 182 196 254 286 308 364 508 539 572 637 889 1001 1078 1249 1274 1397 1651 1778 2002 2156 2498 2548 2794 3302 3556 4004 4996 5588 6223 6604 7007 8743 9779 11557 12446 13739 14014 16237 17486 18161 19558 23114 24892 27478 28028 32474 34972 36322 39116 46228 54956 61201 64948 68453 72644 80899 96173 113659 122402 127127 136906 158623 161798 178607 192346 227318 244804 254254 273812 317246 323596 357214 384692 454636 508508 634492 673211 714428 795613 889889 1110361 1250249 1346422 1591226 1744853 1779778 2062099 2220722 2500498 2692844 3182452 3489706 3559556 4124198 4441444 5000996 6979412 7772527 8248396 8751743 12213971 14434693 15545054 17503486 22683089 24427942 28869386 31090108 35006972 45366178 48855884 57738772 85497797 90732356 101042851 158781623 170995594 202085702 317563246 341991188 404171404 635126492 1111471361 2222942722 4445885444