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4142376 = 233278219
BaseRepresentation
bin1111110011010100101000
321210110021100
433303110220
52030024001
6224441400
750131620
oct17632450
97713240
104142376
11237a257
121479260
13b20614
1479b880
1556c586
hex3f3528

4142376 has 48 divisors (see below), whose sum is σ = 12823200. Its totient is φ = 1183392.

The previous prime is 4142371. The next prime is 4142387. The reversal of 4142376 is 6732414.

4142376 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

4142376 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (4142371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3606 + ... + 4613.

It is an arithmetic number, because the mean of its divisors is an integer number (267150).

Almost surely, 24142376 is an apocalyptic number.

It is an amenable number.

4142376 is an abundant number, since it is smaller than the sum of its proper divisors (8680824).

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

4142376 is a wasteful number, since it uses less digits than its factorization.

4142376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8238 (or 8231 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 4142376 is about 2035.2827813353. The cubic root of 4142376 is about 160.6015893955.

The spelling of 4142376 in words is "four million, one hundred forty-two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 8219 16438 24657 32876 49314 57533 65752 73971 98628 115066 147942 172599 197256 230132 295884 345198 460264 517797 591768 690396 1035594 1380792 2071188 4142376