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1889610648 = 2331967127487
BaseRepresentation
bin111000010100001…
…0010101110011000
311212200122011111120
41300220102232120
512332220020043
6511300525240
764553265642
oct16050225630
94780564446
101889610648
1188a6aa4a2
124489b0820
13241636a13
1413cd61892
15b0d59983
hex70a12b98

1889610648 has 128 divisors (see below), whose sum is σ = 5097062400. Its totient is φ = 581986944.

The previous prime is 1889610631. The next prime is 1889610649. The reversal of 1889610648 is 8460169881.

It is a self number, because there is not a number n which added to its sum of digits gives 1889610648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1889610649) 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 31 ways as a sum of consecutive naturals, for example, 3879861 + ... + 3880347.

It is an arithmetic number, because the mean of its divisors is an integer number (39820800).

Almost surely, 21889610648 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 1889610648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548531200).

1889610648 is an abundant number, since it is smaller than the sum of its proper divisors (3207451752).

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

1889610648 is a wasteful number, since it uses less digits than its factorization.

1889610648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The square root of 1889610648 is about 43469.6520344941. The cubic root of 1889610648 is about 1236.3006830180.

The spelling of 1889610648 in words is "one billion, eight hundred eighty-nine million, six hundred ten thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 67 76 114 127 134 152 201 228 254 268 381 402 456 487 508 536 762 804 974 1016 1273 1461 1524 1608 1948 2413 2546 2922 3048 3819 3896 4826 5092 5844 7239 7638 8509 9253 9652 10184 11688 14478 15276 17018 18506 19304 25527 27759 28956 30552 32629 34036 37012 51054 55518 57912 61849 65258 68072 74024 97887 102108 111036 123698 130516 161671 185547 195774 204216 222072 247396 261032 323342 371094 391548 485013 494792 619951 646684 742188 783096 970026 1175131 1239902 1293368 1484376 1859853 1940052 2350262 2479804 3525393 3719706 3880104 4143883 4700524 4959608 7050786 7439412 8287766 9401048 12431649 14101572 14878824 16575532 24863298 28203144 33151064 49726596 78733777 99453192 157467554 236201331 314935108 472402662 629870216 944805324 1889610648