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3056516424 = 2333132313773
BaseRepresentation
bin1011011000101110…
…1011110101001000
321220000101010022000
42312023223311020
522224432011144
61223143431000
7135512650413
oct26613536510
97800333260
103056516424
111329362035
12713755460
13399311a00
1420dd18b7a
1512d509769
hexb62ebd48

3056516424 has 384 divisors, whose sum is σ = 9880243200. Its totient is φ = 873400320.

The previous prime is 3056516423. The next prime is 3056516431. The reversal of 3056516424 is 4246156503.

3056516424 is a `hidden beast` number, since 3 + 0 + 5 + 6 + 5 + 1 + 642 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3056516423) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 41870052 + ... + 41870124.

It is an arithmetic number, because the mean of its divisors is an integer number (25729800).

Almost surely, 23056516424 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 3056516424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940121600).

3056516424 is an abundant number, since it is smaller than the sum of its proper divisors (6823726776).

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

3056516424 is a wasteful number, since it uses less digits than its factorization.

3056516424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3056516424 is about 55285.7705381774. The cubic root of 3056516424 is about 1451.2500395943.

The spelling of 3056516424 in words is "three billion, fifty-six million, five hundred sixteen thousand, four hundred twenty-four".