Search a number
-
+
28504224 = 253471571
BaseRepresentation
bin110110010111…
…1000010100000
31222122011110000
41230233002200
524244113344
62454540000
7464165460
oct154570240
958564400
1028504224
11150a9711
129667600
135ba0208
143addba0
152780a69
hex1b2f0a0

28504224 has 120 divisors (see below), whose sum is σ = 95866848. Its totient is φ = 8138880.

The previous prime is 28504219. The next prime is 28504243. The reversal of 28504224 is 42240582.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17359 + ... + 18929.

Almost surely, 228504224 is an apocalyptic number.

28504224 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 28504224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47933424).

28504224 is an abundant number, since it is smaller than the sum of its proper divisors (67362624).

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

28504224 is a wasteful number, since it uses less digits than its factorization.

28504224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 28504224 is about 5338.9347252050. The cubic root of 28504224 is about 305.4708270542.

The spelling of 28504224 in words is "twenty-eight million, five hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 1571 2016 2268 2592 3024 3142 4536 4713 6048 6284 9072 9426 10997 12568 14139 18144 18852 21994 25136 28278 32991 37704 42417 43988 50272 56556 65982 75408 84834 87976 98973 113112 127251 131964 150816 169668 175952 197946 226224 254502 263928 296919 339336 351904 395892 452448 509004 527856 593838 678672 791784 890757 1018008 1055712 1187676 1357344 1583568 1781514 2036016 2375352 3167136 3563028 4072032 4750704 7126056 9501408 14252112 28504224