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1893984 = 253109181
BaseRepresentation
bin111001110011001100000
310120020001120
413032121200
5441101414
6104332240
722045551
oct7163140
93506046
101893984
111083a84
12774080
13514101
14374328
152762a9
hex1ce660

1893984 has 48 divisors (see below), whose sum is σ = 5045040. Its totient is φ = 622080.

The previous prime is 1893979. The next prime is 1894001. The reversal of 1893984 is 4893981.

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

It is a zygodrome in base 2.

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, 10374 + ... + 10554.

It is an arithmetic number, because the mean of its divisors is an integer number (105105).

21893984 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 1893984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522520).

1893984 is an abundant number, since it is smaller than the sum of its proper divisors (3151056).

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

1893984 is a wasteful number, since it uses less digits than its factorization.

1893984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 295 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 1893984 is about 1376.2209124992. The cubic root of 1893984 is about 123.7253721014.

The spelling of 1893984 in words is "one million, eight hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 181 218 327 362 436 543 654 724 872 1086 1308 1448 1744 2172 2616 2896 3488 4344 5232 5792 8688 10464 17376 19729 39458 59187 78916 118374 157832 236748 315664 473496 631328 946992 1893984