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13952848 = 247213372
BaseRepresentation
bin110101001110…
…011101010000
3222020212201011
4311032131100
512032442343
61215020304
7226411600
oct65163520
928225634
1013952848
11796aa88
12480a694
132b76b30
141bd2c00
15135929d
hexd4e750

13952848 has 90 divisors (see below), whose sum is σ = 34806366. Its totient is φ = 5370624.

The previous prime is 13952831. The next prime is 13952863. The reversal of 13952848 is 84825931.

13952848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5143824 + 8809024 = 2268^2 + 2968^2 .

It is a super-2 number, since 2×139528482 = 389363934622208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13952848.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 377086 + ... + 377122.

Almost surely, 213952848 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 13952848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17403183).

13952848 is an abundant number, since it is smaller than the sum of its proper divisors (20853518).

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

13952848 is a wasteful number, since it uses less digits than its factorization.

13952848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 59 counting only the distinct ones).

The product of its digits is 69120, while the sum is 40.

The square root of 13952848 is about 3735.3511213807. The cubic root of 13952848 is about 240.7433434400.

The spelling of 13952848 in words is "thirteen million, nine hundred fifty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 37 49 52 56 74 91 98 104 112 148 182 196 208 259 296 364 392 481 518 592 637 728 784 962 1036 1274 1369 1456 1813 1924 2072 2548 2738 3367 3626 3848 4144 5096 5476 6734 7252 7696 9583 10192 10952 13468 14504 17797 19166 21904 23569 26936 29008 35594 38332 47138 53872 67081 71188 76664 94276 124579 134162 142376 153328 188552 249158 268324 284752 377104 498316 536648 872053 996632 1073296 1744106 1993264 3488212 6976424 13952848