Search a number
-
+
8442912 = 253312837
BaseRepresentation
bin100000001101…
…010000100000
3120212221111110
4200031100200
54130133122
6500543320
7131522622
oct40152040
916787443
108442912
114847315
1229b1b40
131997c0a
14119ac12
15b1b90c
hex80d420

8442912 has 48 divisors (see below), whose sum is σ = 22885632. Its totient is φ = 2722560.

The previous prime is 8442901. The next prime is 8442923. The reversal of 8442912 is 2192448.

It is an interprime number because it is at equal distance from previous prime (8442901) and next prime (8442923).

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

It is a self number, because there is not a number n which added to its sum of digits gives 8442912.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1558 + ... + 4394.

It is an arithmetic number, because the mean of its divisors is an integer number (476784).

Almost surely, 28442912 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 8442912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11442816).

8442912 is an abundant number, since it is smaller than the sum of its proper divisors (14442720).

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

8442912 is a wasteful number, since it uses less digits than its factorization.

8442912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881 (or 2873 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 8442912 is about 2905.6689419134. The cubic root of 8442912 is about 203.6248391360.

The spelling of 8442912 in words is "eight million, four hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2837 2976 5674 8511 11348 17022 22696 34044 45392 68088 87947 90784 136176 175894 263841 272352 351788 527682 703576 1055364 1407152 2110728 2814304 4221456 8442912