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28230624 = 2532831181
BaseRepresentation
bin110101110110…
…0001111100000
31222010021010200
41223230033200
524211334444
62445025200
7461646012
oct153541740
958107120
1028230624
1114a320a4
129555200
135b05816
143a6c1b2
152729969
hex1aec3e0

28230624 has 72 divisors (see below), whose sum is σ = 81316872. Its totient is φ = 9288960.

The previous prime is 28230623. The next prime is 28230647. The reversal of 28230624 is 42603282.

28230624 is a `hidden beast` number, since 2 + 8 + 2 + 30 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28230623) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 23314 + ... + 24494.

It is an arithmetic number, because the mean of its divisors is an integer number (1129401).

Almost surely, 228230624 is an apocalyptic number.

28230624 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 28230624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40658436).

28230624 is an abundant number, since it is smaller than the sum of its proper divisors (53086248).

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

28230624 is a wasteful number, since it uses less digits than its factorization.

28230624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1269 counting only the distinct ones).

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

The square root of 28230624 is about 5313.2498529619. The cubic root of 28230624 is about 304.4903213858.

The spelling of 28230624 in words is "twenty-eight million, two hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1181 1328 1494 1992 2362 2656 2988 3543 3984 4724 5976 7086 7968 9448 10629 11952 14172 18896 21258 23904 28344 37792 42516 56688 85032 98023 113376 170064 196046 294069 340128 392092 588138 784184 882207 1176276 1568368 1764414 2352552 3136736 3528828 4705104 7057656 9410208 14115312 28230624