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68892928 = 2813127163
BaseRepresentation
bin1000001101100…
…11100100000000
311210122010022221
410012303210000
5120114033203
610500340424
71464403006
oct406634400
9153563287
1068892928
1135985305
121b0a4714
1311371960
149214a76
1560acabd
hex41b3900

68892928 has 72 divisors (see below), whose sum is σ = 150176768. Its totient is φ = 31352832.

The previous prime is 68892919. The next prime is 68892931. The reversal of 68892928 is 82929886.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 422575 + ... + 422737.

Almost surely, 268892928 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 68892928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75088384).

68892928 is an abundant number, since it is smaller than the sum of its proper divisors (81283840).

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

68892928 is a wasteful number, since it uses less digits than its factorization.

68892928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its digits is 995328, while the sum is 52.

The square root of 68892928 is about 8300.1763836680. The cubic root of 68892928 is about 409.9443271621.

Subtracting from 68892928 its product of digits (995328), we obtain a square (67897600 = 82402).

The spelling of 68892928 in words is "sixty-eight million, eight hundred ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 128 163 208 254 256 326 416 508 652 832 1016 1304 1651 1664 2032 2119 2608 3302 3328 4064 4238 5216 6604 8128 8476 10432 13208 16256 16952 20701 20864 26416 32512 33904 41402 41728 52832 67808 82804 105664 135616 165608 211328 269113 271232 331216 422656 538226 542464 662432 1076452 1324864 2152904 2649728 4305808 5299456 8611616 17223232 34446464 68892928