Search a number
-
+
10482528 = 253719821
BaseRepresentation
bin100111111111…
…001101100000
3201201120022210
4213333031200
510140420103
61012402120
7155046210
oct47771540
921646283
1010482528
115a0a751
123616340
1322303a4
14156c240
15dc0e03
hex9ff360

10482528 has 96 divisors (see below), whose sum is σ = 33143040. Its totient is φ = 2833920.

The previous prime is 10482491. The next prime is 10482533. The reversal of 10482528 is 82528401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10482495 and 10482504.

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, 12358 + ... + 13178.

It is an arithmetic number, because the mean of its divisors is an integer number (345240).

Almost surely, 210482528 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 10482528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16571520).

10482528 is an abundant number, since it is smaller than the sum of its proper divisors (22660512).

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

10482528 is a wasteful number, since it uses less digits than its factorization.

10482528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 10482528 is about 3237.6732386082. The cubic root of 10482528 is about 218.8544308988.

The spelling of 10482528 in words is "ten million, four hundred eighty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 821 912 1064 1596 1642 1824 2128 2463 3192 3284 4256 4926 5747 6384 6568 9852 11494 12768 13136 15599 17241 19704 22988 26272 31198 34482 39408 45976 46797 62396 68964 78816 91952 93594 109193 124792 137928 183904 187188 218386 249584 275856 327579 374376 436772 499168 551712 655158 748752 873544 1310316 1497504 1747088 2620632 3494176 5241264 10482528