Search a number
-
+
10044464 = 241923747
BaseRepresentation
bin100110010100…
…010000110000
3200220022102012
4212110100300
510032410324
6555142052
7151243103
oct46242060
920808365
1010044464
115740611
123444928
132108b91
14149673a
15d3620e
hex994430

10044464 has 60 divisors (see below), whose sum is σ = 21543264. Its totient is φ = 4530816.

The previous prime is 10044449. The next prime is 10044473. The reversal of 10044464 is 46444001.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213689 + ... + 213735.

Almost surely, 210044464 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 10044464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10771632).

10044464 is an abundant number, since it is smaller than the sum of its proper divisors (11498800).

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

10044464 is a wasteful number, since it uses less digits than its factorization.

10044464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 10044464 is about 3169.3002382229. The cubic root of 10044464 is about 215.7623128469.

Adding to 10044464 its reverse (46444001), we get a palindrome (56488465).

The spelling of 10044464 in words is "ten million, forty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 37 38 47 74 76 94 148 152 188 296 304 361 376 592 703 722 752 893 1406 1444 1739 1786 2812 2888 3478 3572 5624 5776 6956 7144 11248 13357 13912 14288 16967 26714 27824 33041 33934 53428 66082 67868 106856 132164 135736 213712 264328 271472 528656 627779 1255558 2511116 5022232 10044464