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4192830 = 233553293
BaseRepresentation
bin1111111111101000111110
321220000111000
433333220332
52033132310
6225511130
750431665
oct17775076
97800430
104192830
112404154
1214a24a6
13b3a585
147b1ddc
1557c4c0
hex3ffa3e

4192830 has 64 divisors (see below), whose sum is σ = 11430720. Its totient is φ = 1093248.

The previous prime is 4192789. The next prime is 4192841. The reversal of 4192830 is 382914.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4192794 and 4192803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14164 + ... + 14456.

It is an arithmetic number, because the mean of its divisors is an integer number (178605).

Almost surely, 24192830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4192830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715360).

4192830 is an abundant number, since it is smaller than the sum of its proper divisors (7237890).

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

4192830 is a wasteful number, since it uses less digits than its factorization.

4192830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4192830 is about 2047.6401050966. The cubic root of 4192830 is about 161.2510005346.

It can be divided in two parts, 419 and 2830, that added together give a square (3249 = 572).

The spelling of 4192830 in words is "four million, one hundred ninety-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 293 318 477 530 586 795 879 954 1431 1465 1590 1758 2385 2637 2862 2930 4395 4770 5274 7155 7911 8790 13185 14310 15529 15822 26370 31058 39555 46587 77645 79110 93174 139761 155290 232935 279522 419283 465870 698805 838566 1397610 2096415 4192830