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42716025 = 3352112523
BaseRepresentation
bin1010001011110…
…0101101111001
32222101012101000
42202330231321
541413403100
64123315213
71026036342
oct242745571
988335330
1042716025
1122126200
121237bb09
138b07b71
14595d0c9
153b3b900
hex28bcb79

42716025 has 72 divisors (see below), whose sum is σ = 86418080. Its totient is φ = 20671200.

The previous prime is 42715993. The next prime is 42716027. The reversal of 42716025 is 52061724.

It is not a de Polignac number, because 42716025 - 25 = 42715993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 42716025.

It is not an unprimeable number, because it can be changed into a prime (42716027) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81414 + ... + 81936.

Almost surely, 242716025 is an apocalyptic number.

42716025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42716025 is an abundant number, since it is smaller than the sum of its proper divisors (43702055).

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

42716025 is a wasteful number, since it uses less digits than its factorization.

42716025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 42716025 is about 6535.7497657117. The cubic root of 42716025 is about 349.5668792053.

Adding to 42716025 its reverse (52061724), we get a palindrome (94777749).

It can be divided in two parts, 4271 and 6025, that added together give a triangular number (10296 = T143).

The spelling of 42716025 in words is "forty-two million, seven hundred sixteen thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 121 135 165 225 275 297 363 495 523 605 675 825 1089 1485 1569 1815 2475 2615 3025 3267 4707 5445 5753 7425 7845 9075 13075 14121 16335 17259 23535 27225 28765 39225 51777 63283 70605 81675 86295 117675 143825 155331 189849 258885 316415 353025 431475 569547 776655 949245 1294425 1582075 1708641 2847735 3883275 4746225 8543205 14238675 42716025