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9976764 = 2237731627
BaseRepresentation
bin100110000011…
…101110111100
3200202212112210
4212003232330
510023224024
6553500420
7150541530
oct46035674
920685483
109976764
1156a4766
123411710
1320b4115
141479bc0
15d21129
hex983bbc

9976764 has 48 divisors (see below), whose sum is σ = 26985728. Its totient is φ = 2809728.

The previous prime is 9976763. The next prime is 9976777. The reversal of 9976764 is 4676799.

It is a d-powerful number, because it can be written as 92 + 93 + 75 + 6 + 78 + 62 + 411 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9976763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5319 + ... + 6945.

Almost surely, 29976764 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 9976764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13492864).

9976764 is an abundant number, since it is smaller than the sum of its proper divisors (17008964).

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

9976764 is a wasteful number, since it uses less digits than its factorization.

9976764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1712 counting only the distinct ones).

The product of its digits is 571536, while the sum is 48.

The square root of 9976764 is about 3158.6015893113. The cubic root of 9976764 is about 215.2764714430.

The spelling of 9976764 in words is "nine million, nine hundred seventy-six thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 511 876 1022 1533 1627 2044 3066 3254 4881 6132 6508 9762 11389 19524 22778 34167 45556 68334 118771 136668 237542 356313 475084 712626 831397 1425252 1662794 2494191 3325588 4988382 9976764