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1685048544 = 253223325111
BaseRepresentation
bin110010001101111…
…1100110011100000
311100102201100001100
41210123330303200
511422333023134
6435112234400
756520450654
oct14433746340
94312640040
101685048544
11795190a03
123b039ba00
1320b14305a
1411db12a64
159cded999
hex646fcce0

1685048544 has 72 divisors (see below), whose sum is σ = 4812614352. Its totient is φ = 559249920.

The previous prime is 1685048543. The next prime is 1685048579. The reversal of 1685048544 is 4458405861.

It is a happy number.

1685048544 is a `hidden beast` number, since 1 + 68 + 5 + 0 + 48 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1685048544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1685048543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54549 + ... + 79659.

It is an arithmetic number, because the mean of its divisors is an integer number (66841866).

Almost surely, 21685048544 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 1685048544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406307176).

1685048544 is an abundant number, since it is smaller than the sum of its proper divisors (3127565808).

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

1685048544 is a wasteful number, since it uses less digits than its factorization.

1685048544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25360 (or 25349 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 1685048544 is about 41049.3427962008. The cubic root of 1685048544 is about 1189.9739993848.

The spelling of 1685048544 in words is "one billion, six hundred eighty-five million, forty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 233 288 466 699 932 1398 1864 2097 2796 3728 4194 5592 7456 8388 11184 16776 22368 25111 33552 50222 67104 75333 100444 150666 200888 225999 301332 401776 451998 602664 803552 903996 1205328 1807992 2410656 3615984 5850863 7231968 11701726 17552589 23403452 35105178 46806904 52657767 70210356 93613808 105315534 140420712 187227616 210631068 280841424 421262136 561682848 842524272 1685048544