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42516378 = 23229791031
BaseRepresentation
bin1010001000101…
…1111110011010
32222000001111200
42202023332122
541341011003
64115135030
71024245312
oct242137632
988001450
1042516378
1121aaa203
12122a4476
138a68028
14590a442
153aec6a3
hex288bf9a

42516378 has 48 divisors (see below), whose sum is σ = 96595200. Its totient is φ = 13497120.

The previous prime is 42516373. The next prime is 42516389. The reversal of 42516378 is 87361524.

42516378 is a `hidden beast` number, since 425 + 163 + 78 = 666.

It is not an unprimeable number, because it can be changed into a prime (42516373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40723 + ... + 41753.

It is an arithmetic number, because the mean of its divisors is an integer number (2012400).

Almost surely, 242516378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42516378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48297600).

42516378 is an abundant number, since it is smaller than the sum of its proper divisors (54078822).

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

42516378 is a wasteful number, since it uses less digits than its factorization.

42516378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1144 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 42516378 is about 6520.4584194671. The cubic root of 42516378 is about 349.0214243436.

The spelling of 42516378 in words is "forty-two million, five hundred sixteen thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 29 58 79 87 158 174 237 261 474 522 711 1031 1422 2062 2291 3093 4582 6186 6873 9279 13746 18558 20619 29899 41238 59798 81449 89697 162898 179394 244347 269091 488694 538182 733041 1466082 2362021 4724042 7086063 14172126 21258189 42516378