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4142936 = 237167443
BaseRepresentation
bin1111110011011101011000
321210111001002
433303131120
52030033221
6224444132
750133350
oct17633530
97714032
104142936
11237a716
121479648
13b20955
1479bb60
1556c80b
hex3f3758

4142936 has 32 divisors (see below), whose sum is σ = 8951040. Its totient is φ = 1760928.

The previous prime is 4142903. The next prime is 4142939. The reversal of 4142936 is 6392414.

4142936 = T423 + T424 + ... + T464.

It is a junction number, because it is equal to n+sod(n) for n = 4142899 and 4142908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142939) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9131 + ... + 9573.

It is an arithmetic number, because the mean of its divisors is an integer number (279720).

Almost surely, 24142936 is an apocalyptic number.

It is an amenable number.

4142936 is an abundant number, since it is smaller than the sum of its proper divisors (4808104).

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

4142936 is a wasteful number, since it uses less digits than its factorization.

4142936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 619 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 4142936 is about 2035.4203497067. The cubic root of 4142936 is about 160.6088262114.

The spelling of 4142936 in words is "four million, one hundred forty-two thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 56 167 334 443 668 886 1169 1336 1772 2338 3101 3544 4676 6202 9352 12404 24808 73981 147962 295924 517867 591848 1035734 2071468 4142936