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4098948 = 223726971
BaseRepresentation
bin1111101000101110000100
321201020200220
433220232010
52022131243
6223504340
746561200
oct17505604
97636626
104098948
11234a667
1214580b0
13b06919
14789b00
1555e783
hex3e8b84

4098948 has 36 divisors (see below), whose sum is σ = 11127312. Its totient is φ = 1170960.

The previous prime is 4098937. The next prime is 4098949. The reversal of 4098948 is 8498904.

4098948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4098949) 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 11 ways as a sum of consecutive naturals, for example, 2898 + ... + 4073.

It is an arithmetic number, because the mean of its divisors is an integer number (309092).

Almost surely, 24098948 is an apocalyptic number.

It is an amenable number.

4098948 is an abundant number, since it is smaller than the sum of its proper divisors (7028364).

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

4098948 is a wasteful number, since it uses less digits than its factorization.

4098948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6992 (or 6983 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 4098948 is about 2024.5858835821. The cubic root of 4098948 is about 160.0383762113.

The spelling of 4098948 in words is "four million, ninety-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 6971 13942 20913 27884 41826 48797 83652 97594 146391 195188 292782 341579 585564 683158 1024737 1366316 2049474 4098948