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42154016 = 251777489
BaseRepresentation
bin1010000011001…
…1100000100000
32221022122102212
42200303200200
541242412031
64103301252
71021206002
oct240634040
987278385
1042154016
1121881a33
121214a828
13896c108
145854372
153a7a12b
hex2833820

42154016 has 24 divisors (see below), whose sum is σ = 87873660. Its totient is φ = 19836928.

The previous prime is 42154003. The next prime is 42154019. The reversal of 42154016 is 61045124.

It can be written as a sum of positive squares in 2 ways, for example, as 40704400 + 1449616 = 6380^2 + 1204^2 .

It is a super-2 number, since 2×421540162 = 3553922129856512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42153982 and 42154000.

It is not an unprimeable number, because it can be changed into a prime (42154019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38201 + ... + 39288.

Almost surely, 242154016 is an apocalyptic number.

It is an amenable number.

42154016 is an abundant number, since it is smaller than the sum of its proper divisors (45719644).

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

42154016 is a wasteful number, since it uses less digits than its factorization.

42154016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77516 (or 77508 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 42154016 is about 6492.6124172016. The cubic root of 42154016 is about 348.0270380190.

The spelling of 42154016 in words is "forty-two million, one hundred fifty-four thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 77489 154978 309956 619912 1239824 1317313 2479648 2634626 5269252 10538504 21077008 42154016