Search a number
-
+
28526544 = 24321743271
BaseRepresentation
bin110110011010…
…0011111010000
31222200022001200
41230310133100
524300322134
62455231200
7464320524
oct154643720
958608050
1028526544
1115114462
129678500
135baa417
143b07d84
152787499
hex1b347d0

28526544 has 120 divisors (see below), whose sum is σ = 86815872. Its totient is φ = 8709120.

The previous prime is 28526503. The next prime is 28526549. The reversal of 28526544 is 44562582.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28526499 and 28526508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28526549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105129 + ... + 105399.

Almost surely, 228526544 is an apocalyptic number.

28526544 is a gapful number since it is divisible by the number (24) 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 28526544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43407936).

28526544 is an abundant number, since it is smaller than the sum of its proper divisors (58289328).

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

28526544 is a wasteful number, since it uses less digits than its factorization.

28526544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 336 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 28526544 is about 5341.0246208008. The cubic root of 28526544 is about 305.5505383982.

The spelling of 28526544 in words is "twenty-eight million, five hundred twenty-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 43 48 51 68 72 86 102 129 136 144 153 172 204 258 271 272 306 344 387 408 516 542 612 688 731 774 813 816 1032 1084 1224 1462 1548 1626 2064 2168 2193 2439 2448 2924 3096 3252 4336 4386 4607 4878 5848 6192 6504 6579 8772 9214 9756 11653 11696 13008 13158 13821 17544 18428 19512 23306 26316 27642 34959 35088 36856 39024 41463 46612 52632 55284 69918 73712 82926 93224 104877 105264 110568 139836 165852 186448 198101 209754 221136 279672 331704 396202 419508 559344 594303 663408 792404 839016 1188606 1584808 1678032 1782909 2377212 3169616 3565818 4754424 7131636 9508848 14263272 28526544