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5046682624 = 21018892609
BaseRepresentation
bin1001011001100111…
…00100010000000000
3111000201020001002021
410230303210100000
540313422320444
62152435531224
7236030044264
oct45463442000
914021201067
105046682624
11215a7a2395
12b8a159b14
13625725049
1435c3740a4
151e80c8584
hex12cce4400

5046682624 has 44 divisors (see below), whose sum is σ = 10097646300. Its totient is φ = 2521038848.

The previous prime is 5046682621. The next prime is 5046682633. The reversal of 5046682624 is 4262866405.

It can be written as a sum of positive squares in 2 ways, for example, as 2428518400 + 2618164224 = 49280^2 + 51168^2 .

It is not an unprimeable number, because it can be changed into a prime (5046682621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1933032 + ... + 1935640.

Almost surely, 25046682624 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 5046682624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5048823150).

5046682624 is an abundant number, since it is smaller than the sum of its proper divisors (5050963676).

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

5046682624 is a wasteful number, since it uses less digits than its factorization.

5046682624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The square root of 5046682624 is about 71040.0072072068. The cubic root of 5046682624 is about 1715.2812141318.

The spelling of 5046682624 in words is "five billion, forty-six million, six hundred eighty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1889 2609 3778 5218 7556 10436 15112 20872 30224 41744 60448 83488 120896 166976 241792 333952 483584 667904 967168 1335808 1934336 2671616 4928401 9856802 19713604 39427208 78854416 157708832 315417664 630835328 1261670656 2523341312 5046682624