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33397056 = 2633711251
BaseRepresentation
bin111111101100…
…1100101000000
32022211202011000
41333121211000
532022201211
63151452000
7553604340
oct177314500
968752130
1033397056
1117940780
12b227000
136bc4294
144614d20
152dea656
hex1fd9940

33397056 has 224 divisors, whose sum is σ = 122895360. Its totient is φ = 8640000.

The previous prime is 33397043. The next prime is 33397093. The reversal of 33397056 is 65079333.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×333970562 = 2230726698934272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 33397056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132931 + ... + 133181.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 233397056 is an apocalyptic number.

33397056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33397056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61447680).

33397056 is an abundant number, since it is smaller than the sum of its proper divisors (89498304).

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

33397056 is a wasteful number, since it uses less digits than its factorization.

33397056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 36.

The square root of 33397056 is about 5779.0186018043. The cubic root of 33397056 is about 322.0347428531.

The spelling of 33397056 in words is "thirty-three million, three hundred ninety-seven thousand, fifty-six".