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5923984 = 241197347
BaseRepresentation
bin10110100110010010010000
3102010222011211
4112212102100
53004031414
6330545504
7101232043
oct26462220
912128154
105923984
113386860
121b98294
1312c5521
14b02c5a
157c03c4
hex5a6490

5923984 has 40 divisors (see below), whose sum is σ = 12686688. Its totient is φ = 2657280.

The previous prime is 5923979. The next prime is 5923997. The reversal of 5923984 is 4893295.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

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, 16899 + ... + 17245.

Almost surely, 25923984 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 5923984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6343344).

5923984 is an abundant number, since it is smaller than the sum of its proper divisors (6762704).

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

5923984 is a wasteful number, since it uses less digits than its factorization.

5923984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

The product of its digits is 77760, while the sum is 40.

The square root of 5923984 is about 2433.9235813805. The cubic root of 5923984 is about 180.9414052878.

The spelling of 5923984 in words is "five million, nine hundred twenty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 97 176 194 347 388 694 776 1067 1388 1552 2134 2776 3817 4268 5552 7634 8536 15268 17072 30536 33659 61072 67318 134636 269272 370249 538544 740498 1480996 2961992 5923984