Search a number
-
+
4157286 = 237312103
BaseRepresentation
bin1111110110111101100110
321211012201120
433312331212
52031013121
6225034410
750223240
oct17667546
97735646
104157286
11238a481
121485a06
13b27343
147a3090
15571bc6
hex3f6f66

4157286 has 48 divisors (see below), whose sum is σ = 9914112. Its totient is φ = 1138320.

The previous prime is 4157269. The next prime is 4157287. The reversal of 4157286 is 6827514.

4157286 is a nontrivial binomial coefficient, being equal to C(2884, 2).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4157287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40311 + ... + 40413.

It is an arithmetic number, because the mean of its divisors is an integer number (206544).

Almost surely, 24157286 is an apocalyptic number.

4157286 is the 2883-rd triangular number and also the 1442-nd hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4157286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4957056).

4157286 is an abundant number, since it is smaller than the sum of its proper divisors (5756826).

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

4157286 is a wasteful number, since it uses less digits than its factorization.

4157286 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 146 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 4157286 is about 2038.9423728983. The cubic root of 4157286 is about 160.7940475755.

The spelling of 4157286 in words is "four million, one hundred fifty-seven thousand, two hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 103 186 206 217 309 434 618 651 721 961 1302 1442 1922 2163 2883 3193 4326 5766 6386 6727 9579 13454 19158 20181 22351 40362 44702 67053 98983 134106 197966 296949 593898 692881 1385762 2078643 4157286