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42894306 = 23372132943
BaseRepresentation
bin1010001110100…
…0001111100010
32222201020221000
42203220033202
541440104211
64131212430
71030411200
oct243501742
988636830
1042894306
1122238144
1212447116
138b6b060
1459a8070
153b74656
hex28e83e2

42894306 has 192 divisors, whose sum is σ = 126403200. Its totient is φ = 10668672.

The previous prime is 42894301. The next prime is 42894329. The reversal of 42894306 is 60349824.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42894301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 997521 + ... + 997563.

It is an arithmetic number, because the mean of its divisors is an integer number (658350).

Almost surely, 242894306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42894306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63201600).

42894306 is an abundant number, since it is smaller than the sum of its proper divisors (83508894).

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

42894306 is a wasteful number, since it uses less digits than its factorization.

42894306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 42894306 is about 6549.3744739479. The cubic root of 42894306 is about 350.0525254503.

The spelling of 42894306 in words is "forty-two million, eight hundred ninety-four thousand, three hundred six".