Search a number
-
+
7485104 = 241171599
BaseRepresentation
bin11100100011011010110000
3112002021122002
4130203122300
53404010404
6424233132
7120423314
oct34433260
915067562
107485104
114252740
12260b7a8
131720c73
14dcbb44
159ccc1e
hex7236b0

7485104 has 40 divisors (see below), whose sum is σ = 16070400. Its totient is φ = 3348800.

The previous prime is 7485091. The next prime is 7485131. The reversal of 7485104 is 4015847.

It is a nialpdrome in base 14.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12197 + ... + 12795.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 27485104 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 7485104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8035200).

7485104 is an abundant number, since it is smaller than the sum of its proper divisors (8585296).

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

7485104 is a wasteful number, since it uses less digits than its factorization.

7485104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 7485104 is about 2735.8918107264. The cubic root of 7485104 is about 195.6137053501.

The spelling of 7485104 in words is "seven million, four hundred eighty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 599 781 1136 1198 1562 2396 3124 4792 6248 6589 9584 12496 13178 26356 42529 52712 85058 105424 170116 340232 467819 680464 935638 1871276 3742552 7485104