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28452944 = 2413295389
BaseRepresentation
bin110110010001…
…0100001010000
31222112120002202
41230202201100
524240443234
62453502332
7463563122
oct154424120
958476082
1028452944
1115074133
1296419a8
135b82a80
143ac9212
15277077e
hex1b22850

28452944 has 80 divisors (see below), whose sum is σ = 63277200. Its totient is φ = 12300288.

The previous prime is 28452911. The next prime is 28452961. The reversal of 28452944 is 44925482.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1537600 + 26915344 = 1240^2 + 5188^2 .

It is a super-4 number, since 4×284529444 (a number of 31 digits) contains 4444 as substring.

Its product of digits (92160) is a multiple of the sum of its prime factors (192).

It is a junction number, because it is equal to n+sod(n) for n = 28452898 and 28452907.

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, 319652 + ... + 319740.

It is an arithmetic number, because the mean of its divisors is an integer number (790965).

Almost surely, 228452944 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 28452944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31638600).

28452944 is an abundant number, since it is smaller than the sum of its proper divisors (34824256).

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

28452944 is a wasteful number, since it uses less digits than its factorization.

28452944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its digits is 92160, while the sum is 38.

The square root of 28452944 is about 5334.1301071496. The cubic root of 28452944 is about 305.2875332018.

The spelling of 28452944 in words is "twenty-eight million, four hundred fifty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 29 52 53 58 89 104 106 116 178 208 212 232 356 377 424 464 689 712 754 848 1157 1378 1424 1508 1537 2314 2581 2756 3016 3074 4628 4717 5162 5512 6032 6148 9256 9434 10324 11024 12296 18512 18868 19981 20648 24592 33553 37736 39962 41296 61321 67106 75472 79924 122642 134212 136793 159848 245284 268424 273586 319696 490568 536848 547172 981136 1094344 1778309 2188688 3556618 7113236 14226472 28452944