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8725968 = 24346733
BaseRepresentation
bin100001010010…
…010111010000
3121102022210000
4201102113100
54213212333
6511010000
7134112066
oct41222720
917368700
108725968
114a1aa49
122b09900
131a669c4
141232036
15b75713
hex8525d0

8725968 has 50 divisors (see below), whose sum is σ = 25259234. Its totient is φ = 2908224.

The previous prime is 8725963. The next prime is 8725979. The reversal of 8725968 is 8695278.

It can be written as a sum of positive squares in only one way, i.e., 8714304 + 11664 = 2952^2 + 108^2 .

It is a super-2 number, since 2×87259682 = 152285035074048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8725961) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2071 + ... + 4662.

Almost surely, 28725968 is an apocalyptic number.

It is an amenable number.

8725968 is an abundant number, since it is smaller than the sum of its proper divisors (16533266).

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

8725968 is a wasteful number, since it uses less digits than its factorization.

8725968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6753 (or 6738 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 8725968 is about 2953.9749491152. The cubic root of 8725968 is about 205.8754391980.

The spelling of 8725968 in words is "eight million, seven hundred twenty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 6733 13466 20199 26932 40398 53864 60597 80796 107728 121194 161592 181791 242388 323184 363582 484776 545373 727164 969552 1090746 1454328 2181492 2908656 4362984 8725968