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3825024224 = 257137312437
BaseRepresentation
bin1110001111111101…
…0011110011100000
3100212120110100210212
43203333103303200
530313201233344
61431315313252
7163534112060
oct34377236340
910776410725
103825024224
11169314334a
128a8bab828
1348c5b9658
142840073a0
15175c1079e
hexe3fd3ce0

3825024224 has 48 divisors (see below), whose sum is σ = 8613265248. Its totient is φ = 1637970432.

The previous prime is 3825024199. The next prime is 3825024239. The reversal of 3825024224 is 4224205283.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301334 + ... + 313770.

It is an arithmetic number, because the mean of its divisors is an integer number (179443026).

Almost surely, 23825024224 is an apocalyptic number.

It is an amenable number.

3825024224 is an abundant number, since it is smaller than the sum of its proper divisors (4788241024).

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

3825024224 is a wasteful number, since it uses less digits than its factorization.

3825024224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13827 (or 13819 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 3825024224 is about 61846.7802233875. The cubic root of 3825024224 is about 1563.9087036231.

The spelling of 3825024224 in words is "three billion, eight hundred twenty-five million, twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1373 2746 5492 9611 10984 12437 19222 21968 24874 38444 43936 49748 76888 87059 99496 153776 174118 198992 307552 348236 397984 696472 1392944 2785888 17076001 34152002 68304004 119532007 136608008 239064014 273216016 478128028 546432032 956256056 1912512112 3825024224