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42466680 = 2335517257
BaseRepresentation
bin1010000111111…
…1110101111000
32221220112100000
42201333311320
541332413210
64114113000
71023650364
oct241776570
987815300
1042466680
1121a75933
121227b760
138a4b519
1458d62a4
153adcac0
hex287fd78

42466680 has 192 divisors, whose sum is σ = 152137440. Its totient is φ = 10616832.

The previous prime is 42466673. The next prime is 42466681. The reversal of 42466680 is 8666424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42466681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165112 + ... + 165368.

Almost surely, 242466680 is an apocalyptic number.

42466680 is a gapful number since it is divisible by the number (40) 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 42466680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76068720).

42466680 is an abundant number, since it is smaller than the sum of its proper divisors (109670760).

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

42466680 is a wasteful number, since it uses less digits than its factorization.

42466680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 42466680 is about 6516.6463767800. The cubic root of 42466680 is about 348.8853792829.

The spelling of 42466680 in words is "forty-two million, four hundred sixty-six thousand, six hundred eighty".