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53826048 = 293211681
BaseRepresentation
bin1100110101010…
…1001000000000
310202021122110100
43031111020000
5102234413143
65201402400
71222341153
oct315251000
9122248410
1053826048
1128424341
1216039400
13b1c7a43
147211c9a
154ad36d3
hex3355200

53826048 has 60 divisors (see below), whose sum is σ = 155358918. Its totient is φ = 17940480.

The previous prime is 53825987. The next prime is 53826077. The reversal of 53826048 is 84062835.

It can be written as a sum of positive squares in only one way, i.e., 45805824 + 8020224 = 6768^2 + 2832^2 .

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 5 ways as a sum of consecutive naturals, for example, 1233 + ... + 10448.

Almost surely, 253826048 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 53826048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77679459).

53826048 is an abundant number, since it is smaller than the sum of its proper divisors (101532870).

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

53826048 is a wasteful number, since it uses less digits than its factorization.

53826048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11705 (or 11686 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 53826048 is about 7336.6237466562. The cubic root of 53826048 is about 377.5700158131.

The spelling of 53826048 in words is "fifty-three million, eight hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 11681 23362 35043 46724 70086 93448 105129 140172 186896 210258 280344 373792 420516 560688 747584 841032 1121376 1495168 1682064 2242752 2990336 3364128 4485504 5980672 6728256 8971008 13456512 17942016 26913024 53826048