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68688576 = 26321137293
BaseRepresentation
bin1000001100000…
…01101011000000
311210020202000100
410012001223000
5120041013301
610452122400
71462562145
oct406015300
9153222010
1068688576
1135855820
121b006400
13112cc938
1491a03cc
15606c286
hex4181ac0

68688576 has 168 divisors, whose sum is σ = 221339664. Its totient is φ = 20183040.

The previous prime is 68688563. The next prime is 68688577. The reversal of 68688576 is 67588686.

68688576 is a `hidden beast` number, since 6 + 8 + 68 + 8 + 576 = 666.

It is not an unprimeable number, because it can be changed into a prime (68688577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234286 + ... + 234578.

It is an arithmetic number, because the mean of its divisors is an integer number (1317498).

Almost surely, 268688576 is an apocalyptic number.

68688576 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68688576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110669832).

68688576 is an abundant number, since it is smaller than the sum of its proper divisors (152651088).

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

68688576 is a wasteful number, since it uses less digits than its factorization.

68688576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 346 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 68688576 is about 8287.8571416259. The cubic root of 68688576 is about 409.5385965490.

The spelling of 68688576 in words is "sixty-eight million, six hundred eighty-eight thousand, five hundred seventy-six".