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8976672 = 253271439
BaseRepresentation
bin100010001111…
…100100100000
3121220001200100
4202033210200
54244223142
6520222400
7136205025
oct42174440
917801610
108976672
115081341
12300aa00
131b23b53
14129954c
15bc4b4c
hex88f920

8976672 has 72 divisors (see below), whose sum is σ = 25945920. Its totient is φ = 2943360.

The previous prime is 8976659. The next prime is 8976677. The reversal of 8976672 is 2766798.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (8976677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20229 + ... + 20667.

It is an arithmetic number, because the mean of its divisors is an integer number (360360).

Almost surely, 28976672 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 8976672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972960).

8976672 is an abundant number, since it is smaller than the sum of its proper divisors (16969248).

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

8976672 is a wasteful number, since it uses less digits than its factorization.

8976672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 515 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 8976672 is about 2996.1094773055. The cubic root of 8976672 is about 207.8285075615.

It can be divided in two parts, 897 and 6672, that added together give a square (7569 = 872).

The spelling of 8976672 in words is "eight million, nine hundred seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 439 568 639 852 878 1136 1278 1317 1704 1756 2272 2556 2634 3408 3512 3951 5112 5268 6816 7024 7902 10224 10536 14048 15804 20448 21072 31169 31608 42144 62338 63216 93507 124676 126432 187014 249352 280521 374028 498704 561042 748056 997408 1122084 1496112 2244168 2992224 4488336 8976672