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28254144 = 2633147101
BaseRepresentation
bin110101111000…
…1111111000000
31222011110101210
41223301333000
524213113034
62445330120
7462104412
oct153617700
958143353
1028254144
1114a48836
129566940
135b13439
143a769b2
1527318e9
hex1af1fc0

28254144 has 112 divisors (see below), whose sum is σ = 79589376. Its totient is φ = 8832000.

The previous prime is 28254103. The next prime is 28254157. The reversal of 28254144 is 44145282.

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, 279694 + ... + 279794.

Almost surely, 228254144 is an apocalyptic number.

28254144 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 28254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39794688).

28254144 is an abundant number, since it is smaller than the sum of its proper divisors (51335232).

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

28254144 is a wasteful number, since it uses less digits than its factorization.

28254144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its digits is 10240, while the sum is 30.

The square root of 28254144 is about 5315.4627268000. The cubic root of 28254144 is about 304.5748587120.

The spelling of 28254144 in words is "twenty-eight million, two hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 47 48 62 64 93 94 96 101 124 141 186 188 192 202 248 282 303 372 376 404 496 564 606 744 752 808 992 1128 1212 1457 1488 1504 1616 1984 2256 2424 2914 2976 3008 3131 3232 4371 4512 4747 4848 5828 5952 6262 6464 8742 9024 9393 9494 9696 11656 12524 14241 17484 18786 18988 19392 23312 25048 28482 34968 37572 37976 46624 50096 56964 69936 75144 75952 93248 100192 113928 139872 147157 150288 151904 200384 227856 279744 294314 300576 303808 441471 455712 588628 601152 882942 911424 1177256 1765884 2354512 3531768 4709024 7063536 9418048 14127072 28254144