Search a number
-
+
8542368 = 25339887
BaseRepresentation
bin100000100101…
…100010100000
3121001222221000
4200211202200
54141323433
6503032000
7132415602
oct40454240
917058830
108542368
11490500a
122a3b600
131a01273
1411c5172
15b3b113
hex8258a0

8542368 has 48 divisors (see below), whose sum is σ = 24917760. Its totient is φ = 2847168.

The previous prime is 8542367. The next prime is 8542409. The reversal of 8542368 is 8632458.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (8542363) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4080 + ... + 5807.

It is an arithmetic number, because the mean of its divisors is an integer number (519120).

Almost surely, 28542368 is an apocalyptic number.

It is an amenable number.

8542368 is an abundant number, since it is smaller than the sum of its proper divisors (16375392).

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

8542368 is a wasteful number, since it uses less digits than its factorization.

8542368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9906 (or 9892 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 8542368 is about 2922.7329676178. The cubic root of 8542368 is about 204.4212747670.

It can be divided in two parts, 85423 and 68, that added together give a triangular number (85491 = T413).

The spelling of 8542368 in words is "eight million, five hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 9887 19774 29661 39548 59322 79096 88983 118644 158192 177966 237288 266949 316384 355932 474576 533898 711864 949152 1067796 1423728 2135592 2847456 4271184 8542368