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1682067904 = 26119912411
BaseRepresentation
bin110010001000010…
…0101000111000000
311100020002220101021
41210100211013000
511421102133104
6434524315224
756453225026
oct14420450700
94306086337
101682067904
11793535570
123ab3a2b14
1320a63b46a
1411d578716
159ca10754
hex644251c0

1682067904 has 56 divisors (see below), whose sum is σ = 3646480896. Its totient is φ = 763488000.

The previous prime is 1682067859. The next prime is 1682067923. The reversal of 1682067904 is 4097602861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696459 + ... + 698869.

Almost surely, 21682067904 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 1682067904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823240448).

1682067904 is an abundant number, since it is smaller than the sum of its proper divisors (1964412992).

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

1682067904 is a wasteful number, since it uses less digits than its factorization.

1682067904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 1682067904 is about 41013.0211518245. The cubic root of 1682067904 is about 1189.2719469122.

The spelling of 1682067904 in words is "one billion, six hundred eighty-two million, sixty-seven thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 991 1982 2411 3964 4822 7928 9644 10901 15856 19288 21802 26521 31712 38576 43604 53042 63424 77152 87208 106084 154304 174416 212168 348832 424336 697664 848672 1697344 2389301 4778602 9557204 19114408 26282311 38228816 52564622 76457632 105129244 152915264 210258488 420516976 841033952 1682067904