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28249056 = 25321137241
BaseRepresentation
bin110101111000…
…0101111100000
31222011012102100
41223300233200
524212432211
62445250400
7462053523
oct153605740
958135370
1028249056
1114a44a30
129563a00
135b11024
143a74bba
152730156
hex1af0be0

28249056 has 144 divisors (see below), whose sum is σ = 90378288. Its totient is φ = 8294400.

The previous prime is 28249049. The next prime is 28249061. The reversal of 28249056 is 65094282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×282490562 = 1596018329782272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28249056.

It is a congruent number.

It is an unprimeable number.

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, 117096 + ... + 117336.

It is an arithmetic number, because the mean of its divisors is an integer number (627627).

Almost surely, 228249056 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 28249056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45189144).

28249056 is an abundant number, since it is smaller than the sum of its proper divisors (62129232).

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

28249056 is a wasteful number, since it uses less digits than its factorization.

28249056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 28249056 is about 5314.9841015755. The cubic root of 28249056 is about 304.5565750234.

The spelling of 28249056 in words is "twenty-eight million, two hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 37 44 48 66 72 74 88 96 99 111 132 144 148 176 198 222 241 264 288 296 333 352 396 407 444 482 528 592 666 723 792 814 888 964 1056 1184 1221 1332 1446 1584 1628 1776 1928 2169 2442 2651 2664 2892 3168 3256 3552 3663 3856 4338 4884 5302 5328 5784 6512 7326 7712 7953 8676 8917 9768 10604 10656 11568 13024 14652 15906 17352 17834 19536 21208 23136 23859 26751 29304 31812 34704 35668 39072 42416 47718 53502 58608 63624 69408 71336 80253 84832 95436 98087 107004 117216 127248 142672 160506 190872 196174 214008 254496 285344 294261 321012 381744 392348 428016 588522 642024 763488 784696 856032 882783 1177044 1284048 1569392 1765566 2354088 2568096 3138784 3531132 4708176 7062264 9416352 14124528 28249056