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1681201248 = 25323375161
BaseRepresentation
bin110010000110101…
…0001100001100000
311100011110212112220
41210031101201200
511420341414443
6434453551040
756442655236
oct14415214140
94304425486
101681201248
11792aa3421
123ab045480
1320a3c6b4c
1411d3d0956
159c8dda83
hex64351860

1681201248 has 48 divisors (see below), whose sum is σ = 4432152816. Its totient is φ = 557987840.

The previous prime is 1681201243. The next prime is 1681201259. The reversal of 1681201248 is 8421021861.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681201241) 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 7 ways as a sum of consecutive naturals, for example, 15213 + ... + 59948.

It is an arithmetic number, because the mean of its divisors is an integer number (92336517).

Almost surely, 21681201248 is an apocalyptic number.

It is an amenable number.

1681201248 is an abundant number, since it is smaller than the sum of its proper divisors (2750951568).

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

1681201248 is a wasteful number, since it uses less digits than its factorization.

1681201248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75407 (or 75399 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 1681201248 is about 41002.4541704518. The cubic root of 1681201248 is about 1189.0676613160.

The spelling of 1681201248 in words is "one billion, six hundred eighty-one million, two hundred one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 233 466 699 932 1398 1864 2796 3728 5592 7456 11184 22368 75161 150322 225483 300644 450966 601288 901932 1202576 1803864 2405152 3607728 7215456 17512513 35025026 52537539 70050052 105075078 140100104 210150156 280200208 420300312 560400416 840600624 1681201248