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2988258 = 237132421
BaseRepresentation
bin1011011001100011100010
312121211010020
423121203202
51231111013
6144014310
734254060
oct13314342
95554106
102988258
111761139
121001396
13808200
1457b030
153e0623
hex2d98e2

2988258 has 48 divisors (see below), whose sum is σ = 7413696. Its totient is φ = 786240.

The previous prime is 2988257. The next prime is 2988259. The reversal of 2988258 is 8528892.

2988258 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2988257) and next prime (2988259).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2988253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6888 + ... + 7308.

It is an arithmetic number, because the mean of its divisors is an integer number (154452).

22988258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2988258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706848).

2988258 is an abundant number, since it is smaller than the sum of its proper divisors (4425438).

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

2988258 is a wasteful number, since it uses less digits than its factorization.

2988258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 446 counting only the distinct ones).

The product of its digits is 92160, while the sum is 42.

The square root of 2988258 is about 1728.6578608851. The cubic root of 2988258 is about 144.0365455083.

The spelling of 2988258 in words is "two million, nine hundred eighty-eight thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 169 182 273 338 421 507 546 842 1014 1183 1263 2366 2526 2947 3549 5473 5894 7098 8841 10946 16419 17682 32838 38311 71149 76622 114933 142298 213447 229866 426894 498043 996086 1494129 2988258