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28452384 = 25353659
BaseRepresentation
bin110110010001…
…0011000100000
31222112112100000
41230202120200
524240434014
62453500000
7463561362
oct154423040
958475300
1028452384
1115073774
129641600
135b8273c
143ac8d32
152770509
hex1b22620

28452384 has 72 divisors (see below), whose sum is σ = 83931120. Its totient is φ = 9481536.

The previous prime is 28452377. The next prime is 28452397. The reversal of 28452384 is 48325482.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5947 + ... + 9605.

It is an arithmetic number, because the mean of its divisors is an integer number (1165710).

Almost surely, 228452384 is an apocalyptic number.

28452384 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 28452384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41965560).

28452384 is an abundant number, since it is smaller than the sum of its proper divisors (55478736).

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

28452384 is an equidigital number, since it uses as much as digits as its factorization.

28452384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684 (or 3664 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 28452384 is about 5334.0776147334. The cubic root of 28452384 is about 305.2855303377.

The spelling of 28452384 in words is "twenty-eight million, four hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3659 3888 7318 7776 10977 14636 21954 29272 32931 43908 58544 65862 87816 98793 117088 131724 175632 197586 263448 296379 351264 395172 526896 592758 790344 889137 1053792 1185516 1580688 1778274 2371032 3161376 3556548 4742064 7113096 9484128 14226192 28452384