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3049624832 = 28172330467
BaseRepresentation
bin1011010111000101…
…1001010100000000
321212112101222210212
42311301121110000
522221200443312
61222340013252
7135400245332
oct26561312400
97775358725
103049624832
111325485301
12711391228
13397a6ac47
1420d043452
1512cae7822
hexb5c59500

3049624832 has 72 divisors (see below), whose sum is σ = 6725871936. Its totient is φ = 1372676096.

The previous prime is 3049624829. The next prime is 3049624867. The reversal of 3049624832 is 2384269403.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3049624832.

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 7 ways as a sum of consecutive naturals, for example, 84863 + ... + 115329.

It is an arithmetic number, because the mean of its divisors is an integer number (93414888).

Almost surely, 23049624832 is an apocalyptic number.

3049624832 is a gapful number since it is divisible by the number (32) 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 3049624832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362935968).

3049624832 is an abundant number, since it is smaller than the sum of its proper divisors (3676247104).

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

3049624832 is a wasteful number, since it uses less digits than its factorization.

3049624832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30523 (or 30509 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The square root of 3049624832 is about 55223.4083700019. The cubic root of 3049624832 is about 1450.1584974582.

The spelling of 3049624832 in words is "three billion, forty-nine million, six hundred twenty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 256 272 368 391 544 736 782 1088 1472 1564 2176 2944 3128 4352 5888 6256 12512 25024 30467 50048 60934 100096 121868 243736 487472 517939 700741 974944 1035878 1401482 1949888 2071756 2802964 3899776 4143512 5605928 7799552 8287024 11211856 11912597 16574048 22423712 23825194 33148096 44847424 47650388 66296192 89694848 95300776 132592384 179389696 190601552 381203104 762406208 1524812416 3049624832