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73814016 = 21236007
BaseRepresentation
bin1000110011001…
…01000000000000
312010220010210110
410121211000000
5122344022031
611154031320
71554260133
oct431450000
9163803713
1073814016
1138736621
1220878540
13123a5843
149b3621a
156730c46
hex4665000

73814016 has 52 divisors (see below), whose sum is σ = 196846112. Its totient is φ = 24600576.

The previous prime is 73814009. The next prime is 73814033. The reversal of 73814016 is 61041837.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9285 + ... + 15291.

Almost surely, 273814016 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 73814016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98423056).

73814016 is an abundant number, since it is smaller than the sum of its proper divisors (123032096).

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

73814016 is an equidigital number, since it uses as much as digits as its factorization.

73814016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6034 (or 6012 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 73814016 is about 8591.5083658226. The cubic root of 73814016 is about 419.4816280524.

The spelling of 73814016 in words is "seventy-three million, eight hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6007 6144 12014 12288 18021 24028 36042 48056 72084 96112 144168 192224 288336 384448 576672 768896 1153344 1537792 2306688 3075584 4613376 6151168 9226752 12302336 18453504 24604672 36907008 73814016