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42787563 = 37131973113
BaseRepresentation
bin1010001100111…
…0001011101011
32222111211111120
42203032023223
541423200223
64125030323
71026455040
oct243161353
988454446
1042787563
1122174a25
12123b53a3
138b315b0
14597b1c7
153b52be3
hex28ce2eb

42787563 has 64 divisors (see below), whose sum is σ = 75586560. Its totient is φ = 20901888.

The previous prime is 42787561. The next prime is 42787583. The reversal of 42787563 is 36578724.

It is not a de Polignac number, because 42787563 - 21 = 42787561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42787561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 378595 + ... + 378707.

It is an arithmetic number, because the mean of its divisors is an integer number (1181040).

Almost surely, 242787563 is an apocalyptic number.

42787563 is a deficient number, since it is larger than the sum of its proper divisors (32798997).

42787563 is a wasteful number, since it uses less digits than its factorization.

42787563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228.

The product of its digits is 282240, while the sum is 42.

The square root of 42787563 is about 6541.2202989962. The cubic root of 42787563 is about 349.7619142706.

It can be divided in two parts, 427 and 87563, that added together give a triangular number (87990 = T419).

The spelling of 42787563 in words is "forty-two million, seven hundred eighty-seven thousand, five hundred sixty-three".

Divisors: 1 3 7 13 19 21 39 57 73 91 113 133 219 247 273 339 399 511 741 791 949 1387 1469 1533 1729 2147 2373 2847 4161 4407 5187 6441 6643 8249 9709 10283 15029 18031 19929 24747 27911 29127 30849 45087 54093 57743 83733 107237 126217 156731 173229 195377 321711 378651 470193 586131 750659 1097117 2037503 2251977 3291351 6112509 14262521 42787563