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42619541 = 416117041
BaseRepresentation
bin1010001010010…
…1001010010101
32222012022000112
42202211022111
541402311131
64121252405
71025155136
oct242451225
988168015
1042619541
112206a768
1212334105
138aa2c83
145935c8d
153b1d02b
hex28a5295

42619541 has 8 divisors (see below), whose sum is σ = 44377368. Its totient is φ = 40896000.

The previous prime is 42619501. The next prime is 42619559. The reversal of 42619541 is 14591624.

It can be written as a sum of positive squares in 4 ways, for example, as 96100 + 42523441 = 310^2 + 6521^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42619541 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42619498 and 42619507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42619501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6020 + ... + 11021.

It is an arithmetic number, because the mean of its divisors is an integer number (5547171).

Almost surely, 242619541 is an apocalyptic number.

42619541 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42619541 is a deficient number, since it is larger than the sum of its proper divisors (1757827).

42619541 is a wasteful number, since it uses less digits than its factorization.

42619541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17143.

The product of its digits is 8640, while the sum is 32.

The square root of 42619541 is about 6528.3643433865. The cubic root of 42619541 is about 349.3034883073.

The spelling of 42619541 in words is "forty-two million, six hundred nineteen thousand, five hundred forty-one".

Divisors: 1 41 61 2501 17041 698681 1039501 42619541