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28974336 = 283311217
BaseRepresentation
bin110111010000…
…1110100000000
32000112001022120
41232201310000
524404134321
62513004240
7501164166
oct156416400
960461276
1028974336
111539a936
129853680
1360061a1
143bc3236
152824ec6
hex1ba1d00

28974336 has 72 divisors (see below), whose sum is σ = 79666944. Its totient is φ = 9338880.

The previous prime is 28974317. The next prime is 28974343. The reversal of 28974336 is 63347982.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23200 + ... + 24416.

Almost surely, 228974336 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 28974336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39833472).

28974336 is an abundant number, since it is smaller than the sum of its proper divisors (50692608).

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

28974336 is a wasteful number, since it uses less digits than its factorization.

28974336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1253 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 28974336 is about 5382.7814371382. The cubic root of 28974336 is about 307.1410260057.

The spelling of 28974336 in words is "twenty-eight million, nine hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1217 1488 1984 2434 2976 3651 3968 4868 5952 7302 7936 9736 11904 14604 19472 23808 29208 37727 38944 58416 75454 77888 113181 116832 150908 155776 226362 233664 301816 311552 452724 467328 603632 905448 934656 1207264 1810896 2414528 3621792 4829056 7243584 9658112 14487168 28974336