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28306224 = 24321731373
BaseRepresentation
bin110101111111…
…0101100110000
31222021002211200
41223332230300
524221244344
62450411200
7462412302
oct153765460
958232750
1028306224
1114a83981
129590b00
135b3105b
143a8b972
152742069
hex1afeb30

28306224 has 120 divisors (see below), whose sum is σ = 86815872. Its totient is φ = 8570880.

The previous prime is 28306217. The next prime is 28306247. The reversal of 28306224 is 42260382.

28306224 is a `hidden beast` number, since 2 + 8 + 30 + 622 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75702 + ... + 76074.

Almost surely, 228306224 is an apocalyptic number.

28306224 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 28306224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43407936).

28306224 is an abundant number, since it is smaller than the sum of its proper divisors (58509648).

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

28306224 is a wasteful number, since it uses less digits than its factorization.

28306224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 28306224 is about 5320.3593863573. The cubic root of 28306224 is about 304.7618816902.

The spelling of 28306224 in words is "twenty-eight million, three hundred six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 34 36 48 51 62 68 72 93 102 124 136 144 153 186 204 248 272 279 306 372 373 408 496 527 558 612 744 746 816 1054 1116 1119 1224 1488 1492 1581 2108 2232 2238 2448 2984 3162 3357 4216 4464 4476 4743 5968 6324 6341 6714 8432 8952 9486 11563 12648 12682 13428 17904 18972 19023 23126 25296 25364 26856 34689 37944 38046 46252 50728 53712 57069 69378 75888 76092 92504 101456 104067 114138 138756 152184 185008 196571 208134 228276 277512 304368 393142 416268 456552 555024 589713 786284 832536 913104 1179426 1572568 1665072 1769139 2358852 3145136 3538278 4717704 7076556 9435408 14153112 28306224