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4187268 = 2233137283
BaseRepresentation
bin1111111110010010000100
321212201212000
433332102010
52032443033
6225425300
750406531
oct17762204
97781760
104187268
1123aaa58
12149b230
13b37b97
147add88
1557aa13
hex3fe484

4187268 has 48 divisors (see below), whose sum is σ = 10973760. Its totient is φ = 1380672.

The previous prime is 4187257. The next prime is 4187269. The reversal of 4187268 is 8627814.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4187269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14655 + ... + 14937.

It is an arithmetic number, because the mean of its divisors is an integer number (228620).

Almost surely, 24187268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4187268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486880).

4187268 is an abundant number, since it is smaller than the sum of its proper divisors (6786492).

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

4187268 is a wasteful number, since it uses less digits than its factorization.

4187268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 4187268 is about 2046.2815055608. The cubic root of 4187268 is about 161.1796664602.

The spelling of 4187268 in words is "four million, one hundred eighty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 137 274 283 411 548 566 822 849 1132 1233 1644 1698 2466 2547 3396 3699 4932 5094 7398 7641 10188 14796 15282 30564 38771 77542 116313 155084 232626 348939 465252 697878 1046817 1395756 2093634 4187268