Search a number
-
+
10419444 = 22327173239
BaseRepresentation
bin100111101111…
…110011110100
3201121100210100
4213233303310
510131410234
61011154100
7154364250
oct47576364
921540710
1010419444
115977312
1235a5930
13220a769
141553260
15dac399
hex9efcf4

10419444 has 72 divisors (see below), whose sum is σ = 30401280. Its totient is φ = 2947392.

The previous prime is 10419443. The next prime is 10419469. The reversal of 10419444 is 44491401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10419443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43477 + ... + 43715.

It is an arithmetic number, because the mean of its divisors is an integer number (422240).

Almost surely, 210419444 is an apocalyptic number.

10419444 is a gapful number since it is divisible by the number (14) 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 10419444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15200640).

10419444 is an abundant number, since it is smaller than the sum of its proper divisors (19981836).

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

10419444 is a wasteful number, since it uses less digits than its factorization.

10419444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10419444 is about 3227.9163557936. The cubic root of 10419444 is about 218.4145242524.

The spelling of 10419444 in words is "ten million, four hundred nineteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 173 239 252 346 478 519 692 717 956 1038 1211 1434 1557 1673 2076 2151 2422 2868 3114 3346 3633 4302 4844 5019 6228 6692 7266 8604 10038 10899 14532 15057 20076 21798 30114 41347 43596 60228 82694 124041 165388 248082 289429 372123 496164 578858 744246 868287 1157716 1488492 1736574 2604861 3473148 5209722 10419444