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1983488 = 21013149
BaseRepresentation
bin111100100010000000000
310201202211112
413210100000
51001432423
6110302452
722600523
oct7442000
93652745
101983488
111135251
127b7a28
13545a80
14398bba
15292a78
hex1e4400

1983488 has 44 divisors (see below), whose sum is σ = 4298700. Its totient is φ = 909312.

The previous prime is 1983479. The next prime is 1983491. The reversal of 1983488 is 8843891.

1983488 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 262144 + 1721344 = 512^2 + 1312^2 .

It is a super-2 number, since 2×19834882 = 7868449292288, which contains 22 as substring.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13238 + ... + 13386.

21983488 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 1983488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149350).

1983488 is an abundant number, since it is smaller than the sum of its proper divisors (2315212).

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

1983488 is a wasteful number, since it uses less digits than its factorization.

1983488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 164 counting only the distinct ones).

The product of its digits is 55296, while the sum is 41.

The square root of 1983488 is about 1408.3635894186. The cubic root of 1983488 is about 125.6444161140.

The spelling of 1983488 in words is "one million, nine hundred eighty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 149 208 256 298 416 512 596 832 1024 1192 1664 1937 2384 3328 3874 4768 6656 7748 9536 13312 15496 19072 30992 38144 61984 76288 123968 152576 247936 495872 991744 1983488