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4238416 = 247134171
BaseRepresentation
bin10000001010110001010000
321222100000101
4100022301100
52041112131
6230502144
751011620
oct20126120
97870011
104238416
112435426
121504954
13b55250
147c4880
1558ac61
hex40ac50

4238416 has 80 divisors (see below), whose sum is σ = 10499328. Its totient is φ = 1612800.

The previous prime is 4238407. The next prime is 4238431. The reversal of 4238416 is 6148324.

4238416 is a nontrivial binomial coefficient, being equal to C(2912, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59661 + ... + 59731.

Almost surely, 24238416 is an apocalyptic number.

4238416 is the 2911-st triangular number and also the 1456-th hexagonal number.

4238416 is the 971-st centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4238416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249664).

4238416 is an abundant number, since it is smaller than the sum of its proper divisors (6260912).

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

4238416 is a wasteful number, since it uses less digits than its factorization.

4238416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 4238416 is about 2058.7413630663. The cubic root of 4238416 is about 161.8332888460.

The spelling of 4238416 in words is "four million, two hundred thirty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 41 52 56 71 82 91 104 112 142 164 182 208 284 287 328 364 497 533 568 574 656 728 923 994 1066 1136 1148 1456 1846 1988 2132 2296 2911 3692 3731 3976 4264 4592 5822 6461 7384 7462 7952 8528 11644 12922 14768 14924 20377 23288 25844 29848 37843 40754 46576 51688 59696 75686 81508 103376 151372 163016 264901 302744 326032 529802 605488 1059604 2119208 4238416