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42758540 = 22511263739
BaseRepresentation
bin1010001100011…
…1000110001100
32222110100200122
42203013012030
541421233130
64124244112
71026304316
oct243070614
988410618
1042758540
1122155140
12123a0638
138b21316
1459707b6
153b492e5
hex28c718c

42758540 has 48 divisors (see below), whose sum is σ = 98461440. Its totient is φ = 15468480.

The previous prime is 42758477. The next prime is 42758549. The reversal of 42758540 is 4585724.

42758540 = 2652 + 2662 + ... + 5272.

It is a self number, because there is not a number n which added to its sum of digits gives 42758540.

It is not an unprimeable number, because it can be changed into a prime (42758549) 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 15 ways as a sum of consecutive naturals, for example, 57491 + ... + 58229.

It is an arithmetic number, because the mean of its divisors is an integer number (2051280).

Almost surely, 242758540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42758540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49230720).

42758540 is an abundant number, since it is smaller than the sum of its proper divisors (55702900).

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

42758540 is a wasteful number, since it uses less digits than its factorization.

42758540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 35.

The square root of 42758540 is about 6539.0014528214. The cubic root of 42758540 is about 349.6828146804.

The spelling of 42758540 in words is "forty-two million, seven hundred fifty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 263 526 739 1052 1315 1478 2630 2893 2956 3695 5260 5786 7390 8129 11572 14465 14780 16258 28930 32516 40645 57860 81290 162580 194357 388714 777428 971785 1943570 2137927 3887140 4275854 8551708 10689635 21379270 42758540