Search a number
-
+
9828750 = 23542621
BaseRepresentation
bin100101011111…
…100110001110
3200111100111210
4211133212032
510004010000
6550355250
7146354151
oct45374616
920440453
109828750
115603538
12335bb26
132061939
14143bc98
15ce2350
hex95f98e

9828750 has 40 divisors (see below), whose sum is σ = 24573384. Its totient is φ = 2620000.

The previous prime is 9828733. The next prime is 9828761. The reversal of 9828750 is 578289.

It is a junction number, because it is equal to n+sod(n) for n = 9828699 and 9828708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2440 + ... + 5060.

Almost surely, 29828750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9828750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12286692).

9828750 is an abundant number, since it is smaller than the sum of its proper divisors (14744634).

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

9828750 is a wasteful number, since it uses less digits than its factorization.

9828750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 9828750 is about 3135.0837309393. The cubic root of 9828750 is about 214.2065580652.

The spelling of 9828750 in words is "nine million, eight hundred twenty-eight thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 625 750 1250 1875 2621 3750 5242 7863 13105 15726 26210 39315 65525 78630 131050 196575 327625 393150 655250 982875 1638125 1965750 3276250 4914375 9828750