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42816690 = 2325731973
BaseRepresentation
bin1010001101010…
…1010010110010
32222120022110100
42203111102302
541430113230
64125413230
71026636000
oct243252262
988508410
1042816690
11221948a4
121240a216
138b41927
145987a70
153b5b660
hex28d54b2

42816690 has 192 divisors, whose sum is σ = 138528000. Its totient is φ = 9144576.

The previous prime is 42816679. The next prime is 42816701. The reversal of 42816690 is 9661824.

It is an interprime number because it is at equal distance from previous prime (42816679) and next prime (42816701).

It is a super-2 number, since 2×428166902 = 3666537885112200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 586494 + ... + 586566.

It is an arithmetic number, because the mean of its divisors is an integer number (721500).

Almost surely, 242816690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42816690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69264000).

42816690 is an abundant number, since it is smaller than the sum of its proper divisors (95711310).

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

42816690 is a wasteful number, since it uses less digits than its factorization.

42816690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42816690 is about 6543.4463396592. The cubic root of 42816690 is about 349.8412613500.

The spelling of 42816690 in words is "forty-two million, eight hundred sixteen thousand, six hundred ninety".