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28550144 = 21072569
BaseRepresentation
bin110110011101…
…0010000000000
31222201111102202
41230322100000
524302101034
62455532332
7464446400
oct154722000
958644382
1028550144
1115130167
12968a0a8
135bb809c
143b12800
15278e47e
hex1b3a400

28550144 has 66 divisors (see below), whose sum is σ = 66507030. Its totient is φ = 12214272.

The previous prime is 28550099. The next prime is 28550201. The reversal of 28550144 is 44105582.

It can be written as a sum of positive squares in only one way, i.e., 20070400 + 8479744 = 4480^2 + 2912^2 .

It is a super-2 number, since 2×285501442 = 1630221444841472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49892 + ... + 50460.

Almost surely, 228550144 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 28550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33253515).

28550144 is an abundant number, since it is smaller than the sum of its proper divisors (37956886).

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

28550144 is an equidigital number, since it uses as much as digits as its factorization.

28550144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 28550144 is about 5343.2334779607. The cubic root of 28550144 is about 305.6347757909.

The spelling of 28550144 in words is "twenty-eight million, five hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 569 784 896 1024 1138 1568 1792 2276 3136 3584 3983 4552 6272 7168 7966 9104 12544 15932 18208 25088 27881 31864 36416 50176 55762 63728 72832 111524 127456 145664 223048 254912 291328 446096 509824 582656 892192 1019648 1784384 2039296 3568768 4078592 7137536 14275072 28550144