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42984415 = 5172151197
BaseRepresentation
bin1010001111111…
…0001111011111
32222212211112101
42203332033133
542001000130
64133145531
71031234665
oct243761737
988784471
1042984415
1122299911
121248b2a7
138ba0086
1459ccc35
153b911ca
hex28fe3df

42984415 has 24 divisors (see below), whose sum is σ = 55436832. Its totient is φ = 31987200.

The previous prime is 42984413. The next prime is 42984421. The reversal of 42984415 is 51448924.

It is not a de Polignac number, because 42984415 - 21 = 42984413 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42984413) 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, 218097 + ... + 218293.

It is an arithmetic number, because the mean of its divisors is an integer number (2309868).

Almost surely, 242984415 is an apocalyptic number.

42984415 is a deficient number, since it is larger than the sum of its proper divisors (12452417).

42984415 is a wasteful number, since it uses less digits than its factorization.

42984415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 370 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 42984415 is about 6556.2500714967. The cubic root of 42984415 is about 350.2974749870.

The spelling of 42984415 in words is "forty-two million, nine hundred eighty-four thousand, four hundred fifteen".

Divisors: 1 5 17 85 151 197 289 755 985 1445 2567 3349 12835 16745 29747 43639 56933 148735 218195 284665 505699 2528495 8596883 42984415