Search a number
4142968 = 231741743
BaseRepresentation
bin1111110011011101111000
321210111002021
433303131320
52030033333
6224444224
750133424
oct17633570
97714067
104142968
11237a745
121479674
13b2097b
1479bb84
1556c82d
hex3f3778

4142968 has 32 divisors (see below), whose sum is σ = 8436960. Its totient is φ = 1899520.

The previous prime is 4142947. The next prime is 4142989. The reversal of 4142968 is 8692414.

It is an interprime number because it is at equal distance from previous prime (4142947) and next prime (4142989).

It is a super-3 number, since 3×41429683 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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, 5205 + ... + 5947.

It is an arithmetic number, because the mean of its divisors is an integer number (263655).

Almost surely, 24142968 is an apocalyptic number.

It is an amenable number.

4142968 is an abundant number, since it is smaller than the sum of its proper divisors (4293992).

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

4142968 is a wasteful number, since it uses less digits than its factorization.

4142968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 803 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 4142968 is about 2035.4282104756. The cubic root of 4142968 is about 160.6092397240.

The spelling of 4142968 in words is "four million, one hundred forty-two thousand, nine hundred sixty-eight".