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42946216 = 23172910889
BaseRepresentation
bin1010001111010…
…0111010101000
32222210220010121
42203310322220
541443234331
64132253024
71031015425
oct243647250
988726117
1042946216
1122273145
1212471174
138b88881
1459bcd4c
153b84c11
hex28f4ea8

42946216 has 32 divisors (see below), whose sum is σ = 88209000. Its totient is φ = 19511296.

The previous prime is 42946181. The next prime is 42946219. The reversal of 42946216 is 61264924.

42946216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 31696900 + 11249316 = 5630^2 + 3354^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (42946219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1501 + ... + 9388.

Almost surely, 242946216 is an apocalyptic number.

It is an amenable number.

42946216 is an abundant number, since it is smaller than the sum of its proper divisors (45262784).

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

42946216 is a wasteful number, since it uses less digits than its factorization.

42946216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10941 (or 10937 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 42946216 is about 6553.3362495755. The cubic root of 42946216 is about 350.1936778397.

The spelling of 42946216 in words is "forty-two million, nine hundred forty-six thousand, two hundred sixteen".

Divisors: 1 2 4 8 17 29 34 58 68 116 136 232 493 986 1972 3944 10889 21778 43556 87112 185113 315781 370226 631562 740452 1263124 1480904 2526248 5368277 10736554 21473108 42946216