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68490576 = 24337112971
BaseRepresentation
bin1000001010100…
…01010101010000
311202212200102000
410011101111100
5120013144301
610443554000
71461105660
oct405212520
9152780360
1068490576
113572aa90
121ab2b900
131126078b
14914c1a0
15602d786
hex4151550

68490576 has 320 divisors, whose sum is σ = 257126400. Its totient is φ = 16934400.

The previous prime is 68490553. The next prime is 68490577. The reversal of 68490576 is 67509486.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68490577) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 964621 + ... + 964691.

It is an arithmetic number, because the mean of its divisors is an integer number (803520).

Almost surely, 268490576 is an apocalyptic number.

68490576 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 68490576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563200).

68490576 is an abundant number, since it is smaller than the sum of its proper divisors (188635824).

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

68490576 is a wasteful number, since it uses less digits than its factorization.

68490576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 68490576 is about 8275.9033343799. The cubic root of 68490576 is about 409.1447092072.

The spelling of 68490576 in words is "sixty-eight million, four hundred ninety thousand, five hundred seventy-six".