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1986048 = 2932431
BaseRepresentation
bin111100100111000000000
310201220100100
413210320000
51002023143
6110322400
722611141
oct7447000
93656310
101986048
111137169
127b9400
13546c9c
14399ac8
152936d3
hex1e4e00

1986048 has 60 divisors (see below), whose sum is σ = 5745168. Its totient is φ = 660480.

The previous prime is 1986043. The next prime is 1986053. The reversal of 1986048 is 8406891.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1986043) and next prime (1986053).

It is a super-4 number, since 4×19860484 (a number of 26 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1986043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4393 + ... + 4823.

21986048 is an apocalyptic number.

1986048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1986048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872584).

1986048 is an abundant number, since it is smaller than the sum of its proper divisors (3759120).

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

1986048 is an equidigital number, since it uses as much as digits as its factorization.

1986048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1986048 is about 1409.2721525667. The cubic root of 1986048 is about 125.6984474340.

It can be divided in two parts, 1 and 986048, that added together give a square (986049 = 9932).

The spelling of 1986048 in words is "one million, nine hundred eighty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 431 512 576 768 862 1152 1293 1536 1724 2304 2586 3448 3879 4608 5172 6896 7758 10344 13792 15516 20688 27584 31032 41376 55168 62064 82752 110336 124128 165504 220672 248256 331008 496512 662016 993024 1986048