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68818464 = 25331113557
BaseRepresentation
bin1000001101000…
…01011000100000
311210111100012000
410012201120200
5120104142324
610455004000
71463642631
oct406413040
9153440160
1068818464
1135934370
121b069600
1311346ab0
1491d5888
1560959c9
hex41a1620

68818464 has 192 divisors, whose sum is σ = 236234880. Its totient is φ = 19215360.

The previous prime is 68818423. The next prime is 68818531. The reversal of 68818464 is 46481886.

68818464 = T441 + T442 + ... + T792.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123274 + ... + 123830.

It is an arithmetic number, because the mean of its divisors is an integer number (1230390).

Almost surely, 268818464 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 68818464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118117440).

68818464 is an abundant number, since it is smaller than the sum of its proper divisors (167416416).

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

68818464 is a wasteful number, since it uses less digits than its factorization.

68818464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 586 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 68818464 is about 8295.6894830990. The cubic root of 68818464 is about 409.7965756677.

The spelling of 68818464 in words is "sixty-eight million, eight hundred eighteen thousand, four hundred sixty-four".