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504690048 = 2733146033
BaseRepresentation
bin11110000101001…
…111010110000000
31022011122220121000
4132011033112000
52013200040143
6122025132000
715335536362
oct3605172600
91264586530
10504690048
11239980115
1212102a000
1380737a85
144b056d32
152e492bd3
hex1e14f580

504690048 has 64 divisors (see below), whose sum is σ = 1489546800. Its totient is φ = 168228864.

The previous prime is 504690047. The next prime is 504690059. The reversal of 504690048 is 840096405.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 504689994 and 504690021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504690041) by changing a digit.

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, 69561 + ... + 76472.

Almost surely, 2504690048 is an apocalyptic number.

It is an amenable number.

504690048 is an abundant number, since it is smaller than the sum of its proper divisors (984856752).

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

504690048 is a wasteful number, since it uses less digits than its factorization.

504690048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146056 (or 146038 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 504690048 is about 22465.3076542477. The cubic root of 504690048 is about 796.1744691344.

The spelling of 504690048 in words is "five hundred four million, six hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 146033 292066 438099 584132 876198 1168264 1314297 1752396 2336528 2628594 3504792 3942891 4673056 5257188 7009584 7885782 9346112 10514376 14019168 15771564 18692224 21028752 28038336 31543128 42057504 56076672 63086256 84115008 126172512 168230016 252345024 504690048