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8629968 = 243237817
BaseRepresentation
bin100000111010…
…111011010000
3121020110002110
4200322323100
54202124333
6504545320
7133232154
oct40727320
917213073
108629968
114964906
122a82240
131a320b9
141209064
15b57063
hex83aed0

8629968 has 40 divisors (see below), whose sum is σ = 23266368. Its totient is φ = 2751232.

The previous prime is 8629963. The next prime is 8629981. The reversal of 8629968 is 8699268.

It is a super-3 number, since 3×86299683 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8629961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2805 + ... + 5012.

Almost surely, 28629968 is an apocalyptic number.

It is an amenable number.

8629968 is an abundant number, since it is smaller than the sum of its proper divisors (14636400).

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

8629968 is a wasteful number, since it uses less digits than its factorization.

8629968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7851 (or 7845 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 8629968 is about 2937.6807178453. The cubic root of 8629968 is about 205.1176639605.

The spelling of 8629968 in words is "eight million, six hundred twenty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 7817 15634 23451 31268 46902 62536 93804 125072 179791 187608 359582 375216 539373 719164 1078746 1438328 2157492 2876656 4314984 8629968