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3056148480 = 213357111719
BaseRepresentation
bin1011011000101001…
…0010000000000000
321212222200102120110
42312022102000000
522224333222410
61223131511320
7135506555610
oct26612220000
97788612513
103056148480
111329130650
127135b8540
133992133a8
1420dc60a40
1512d485720
hexb6292000

3056148480 has 896 divisors, whose sum is σ = 13588715520. Its totient is φ = 566231040.

The previous prime is 3056148449. The next prime is 3056148481. The reversal of 3056148480 is 848416503.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3056148481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160849911 + ... + 160849929.

Almost surely, 23056148480 is an apocalyptic number.

3056148480 is a gapful number since it is divisible by the number (30) 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 3056148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794357760).

3056148480 is an abundant number, since it is smaller than the sum of its proper divisors (10532567040).

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

3056148480 is a wasteful number, since it uses less digits than its factorization.

3056148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 3056148480 is about 55282.4427824965. The cubic root of 3056148480 is about 1451.1918033433.

It can be divided in two parts, 3056148 and 480, that added together give a triangular number (3056628 = T2472).

The spelling of 3056148480 in words is "three billion, fifty-six million, one hundred forty-eight thousand, four hundred eighty".