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3026149056 = 26327317253
BaseRepresentation
bin1011010001011111…
…0101111011000000
321210220020022002200
42310113311323000
522144143232211
61220140513200
7134663562000
oct26427657300
97726208080
103026149056
111313200637
1270554b800
13392c3b758
14209c92000
1512aa0bb56
hexb45f5ec0

3026149056 has 504 divisors, whose sum is σ = 10948111200. Its totient is φ = 798400512.

The previous prime is 3026148991. The next prime is 3026149067. The reversal of 3026149056 is 6509416203.

It is a happy number.

3026149056 is a `hidden beast` number, since 30 + 2 + 614 + 9 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×30261490563 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 3026149056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57097126 + ... + 57097178.

Almost surely, 23026149056 is an apocalyptic number.

3026149056 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 3026149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474055600).

3026149056 is an abundant number, since it is smaller than the sum of its proper divisors (7921962144).

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

3026149056 is a wasteful number, since it uses less digits than its factorization.

3026149056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3026149056 is about 55010.4449718415. Note that the first 3 decimals coincide. The cubic root of 3026149056 is about 1446.4278389420.

The spelling of 3026149056 in words is "three billion, twenty-six million, one hundred forty-nine thousand, fifty-six".