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3525984 = 253371153
BaseRepresentation
bin1101011100110101100000
320122010202000
431130311200
51400312414
6203324000
741653560
oct15346540
96563660
103525984
111a99140
121220600
13965ba7
1467ada0
15499b09
hex35cd60

3525984 has 192 divisors, whose sum is σ = 13063680. Its totient is φ = 898560.

The previous prime is 3525979. The next prime is 3526027. The reversal of 3525984 is 4895253.

3525984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (43200) is a multiple of the sum of its prime factors (90).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66502 + ... + 66554.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

Almost surely, 23525984 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 3525984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

3525984 is an abundant number, since it is smaller than the sum of its proper divisors (9537696).

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

3525984 is a wasteful number, since it uses less digits than its factorization.

3525984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 76 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 3525984 is about 1877.7603680981. The cubic root of 3525984 is about 152.2042498855.

It can be divided in two parts, 352 and 5984, that added together give a palindrome (6336).

The spelling of 3525984 in words is "three million, five hundred twenty-five thousand, nine hundred eighty-four".