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73834496 = 2139013
BaseRepresentation
bin1000110011010…
…10000000000000
312010221011212222
410121222000000
5122400200441
611154310212
71554403631
oct431520000
9163834788
1073834496
113874aa4a
1220888368
13123b1c68
149b3d888
156736d4b
hex466a000

73834496 has 28 divisors (see below), whose sum is σ = 147676362. Its totient is φ = 36913152.

The previous prime is 73834487. The next prime is 73834543. The reversal of 73834496 is 69443837.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 64000000 + 9834496 = 8000^2 + 3136^2 .

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 as a sum of consecutive naturals, namely, 3686 + ... + 12698.

Almost surely, 273834496 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 73834496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73838181).

73834496 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

73834496 is an frugal number, since it uses more digits than its factorization.

73834496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9039 (or 9015 counting only the distinct ones).

The product of its digits is 435456, while the sum is 44.

The square root of 73834496 is about 8592.7001576920. The cubic root of 73834496 is about 419.5204200949.

The spelling of 73834496 in words is "seventy-three million, eight hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 9013 18026 36052 72104 144208 288416 576832 1153664 2307328 4614656 9229312 18458624 36917248 73834496