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10144848 = 2437109277
BaseRepresentation
bin100110101100…
…110001010000
3201002102010010
4212230301100
510044113343
61001234520
7152141550
oct46546120
921072103
1010144848
1157a9a7a
123492a40
13214278c
1414c1160
15d55d33
hex9acc50

10144848 has 80 divisors (see below), whose sum is σ = 30335360. Its totient is φ = 2861568.

The previous prime is 10144831. The next prime is 10144853. The reversal of 10144848 is 84844101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36486 + ... + 36762.

It is an arithmetic number, because the mean of its divisors is an integer number (379192).

Almost surely, 210144848 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 10144848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15167680).

10144848 is an abundant number, since it is smaller than the sum of its proper divisors (20190512).

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

10144848 is a wasteful number, since it uses less digits than its factorization.

10144848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 10144848 is about 3185.0978006962. The cubic root of 10144848 is about 216.4787051008.

Adding to 10144848 its reverse (84844101), we get a palindrome (94988949).

The spelling of 10144848 in words is "ten million, one hundred forty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 109 112 168 218 277 327 336 436 554 654 763 831 872 1108 1308 1526 1662 1744 1939 2216 2289 2616 3052 3324 3878 4432 4578 5232 5817 6104 6648 7756 9156 11634 12208 13296 15512 18312 23268 30193 31024 36624 46536 60386 90579 93072 120772 181158 211351 241544 362316 422702 483088 634053 724632 845404 1268106 1449264 1690808 2536212 3381616 5072424 10144848