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9672828 = 22311127577
BaseRepresentation
bin100100111001…
…100001111100
3200012102121220
4210321201330
54434012303
6543153340
7145134444
oct44714174
920172556
109672828
115507380
1232a5850
132008989
1413db124
15cb1053
hex93987c

9672828 has 48 divisors (see below), whose sum is σ = 24858624. Its totient is φ = 2903040.

The previous prime is 9672823. The next prime is 9672841. The reversal of 9672828 is 8282769.

It is a happy number.

9672828 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 9672828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9672823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16476 + ... + 17052.

It is an arithmetic number, because the mean of its divisors is an integer number (517888).

Almost surely, 29672828 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 9672828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12429312).

9672828 is an abundant number, since it is smaller than the sum of its proper divisors (15185796).

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

9672828 is a wasteful number, since it uses less digits than its factorization.

9672828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 720 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 9672828 is about 3110.1170395983. The cubic root of 9672828 is about 213.0678000566.

The spelling of 9672828 in words is "nine million, six hundred seventy-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 127 132 254 381 508 577 762 1154 1397 1524 1731 2308 2794 3462 4191 5588 6347 6924 8382 12694 16764 19041 25388 38082 73279 76164 146558 219837 293116 439674 806069 879348 1612138 2418207 3224276 4836414 9672828