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3987424 = 25722543
BaseRepresentation
bin1111001101011111100000
321111120201101
433031133200
52010044144
6221244144
745615100
oct17153740
97446641
103987424
1122838a1
121403654
13a97c2c
1475b200
1553b6d4
hex3cd7e0

3987424 has 36 divisors (see below), whose sum is σ = 9135504. Its totient is φ = 1708224.

The previous prime is 3987421. The next prime is 3987427. The reversal of 3987424 is 4247893.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3987421) and next prime (3987427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3987421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 297 + ... + 2839.

It is an arithmetic number, because the mean of its divisors is an integer number (253764).

Almost surely, 23987424 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 3987424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567752).

3987424 is an abundant number, since it is smaller than the sum of its proper divisors (5148080).

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

3987424 is a wasteful number, since it uses less digits than its factorization.

3987424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2552 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 3987424 is about 1996.8535249236. The cubic root of 3987424 is about 158.5735709165.

The spelling of 3987424 in words is "three million, nine hundred eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 2543 5086 10172 17801 20344 35602 40688 71204 81376 124607 142408 249214 284816 498428 569632 996856 1993712 3987424