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42903315 = 32571310477
BaseRepresentation
bin1010001110101…
…0011100010011
32222201201021200
42203222130103
541440401230
64131322243
71030446360
oct243523423
988651250
1042903315
1122243994
1212450383
138b721a0
1459ab467
153b77160
hex28ea713

42903315 has 48 divisors (see below), whose sum is σ = 91535808. Its totient is φ = 18102528.

The previous prime is 42903299. The next prime is 42903317. The reversal of 42903315 is 51330924.

42903315 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42903315 - 24 = 42903299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42903317) 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 47 ways as a sum of consecutive naturals, for example, 1144 + ... + 9333.

It is an arithmetic number, because the mean of its divisors is an integer number (1906996).

Almost surely, 242903315 is an apocalyptic number.

42903315 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42903315 is an abundant number, since it is smaller than the sum of its proper divisors (48632493).

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

42903315 is a wasteful number, since it uses less digits than its factorization.

42903315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10508 (or 10505 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 42903315 is about 6550.0622134450. The cubic root of 42903315 is about 350.0770306643.

The spelling of 42903315 in words is "forty-two million, nine hundred three thousand, three hundred fifteen".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 4095 10477 31431 52385 73339 94293 136201 157155 220017 366695 408603 471465 660051 681005 953407 1100085 1225809 2043015 2860221 3300255 4767035 6129045 8580663 14301105 42903315