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68892976 = 2417247317
BaseRepresentation
bin1000001101100…
…11100100110000
311210122010101201
410012303210300
5120114033401
610500340544
71464403105
oct406634460
9153563351
1068892976
1135985349
121b0a4754
1311371999
149214aac
1560acb01
hex41b3930

68892976 has 60 divisors (see below), whose sum is σ = 145267488. Its totient is φ = 31630336.

The previous prime is 68892953. The next prime is 68892979. The reversal of 68892976 is 67929886.

It is not an unprimeable number, because it can be changed into a prime (68892979) 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 11 ways as a sum of consecutive naturals, for example, 217170 + ... + 217486.

Almost surely, 268892976 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 68892976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72633744).

68892976 is an abundant number, since it is smaller than the sum of its proper divisors (76374512).

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

68892976 is a wasteful number, since it uses less digits than its factorization.

68892976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 383 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 55.

The square root of 68892976 is about 8300.1792751723. The cubic root of 68892976 is about 409.9444223693.

The spelling of 68892976 in words is "sixty-eight million, eight hundred ninety-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 34 47 68 94 136 188 272 289 317 376 578 634 752 799 1156 1268 1598 2312 2536 3196 4624 5072 5389 6392 10778 12784 13583 14899 21556 27166 29798 43112 54332 59596 86224 91613 108664 119192 183226 217328 238384 253283 366452 506566 732904 1013132 1465808 2026264 4052528 4305811 8611622 17223244 34446488 68892976