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42526218 = 23721923331
BaseRepresentation
bin1010001000111…
…0011000001010
32222000120000010
42202032120022
541341314333
64115252350
71024316100
oct242163012
988016003
1042526218
1122006639
12122aa0b6
138a6c657
14590dc70
153b00563
hex288e60a

42526218 has 96 divisors (see below), whose sum is σ = 109002240. Its totient is φ = 10977120.

The previous prime is 42526217. The next prime is 42526219. The reversal of 42526218 is 81262524.

It is an interprime number because it is at equal distance from previous prime (42526217) and next prime (42526219).

It is not an unprimeable number, because it can be changed into a prime (42526217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128313 + ... + 128643.

It is an arithmetic number, because the mean of its divisors is an integer number (1135440).

Almost surely, 242526218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42526218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54501120).

42526218 is an abundant number, since it is smaller than the sum of its proper divisors (66476022).

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

42526218 is a wasteful number, since it uses less digits than its factorization.

42526218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 385 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 42526218 is about 6521.2129239889. The cubic root of 42526218 is about 349.0483481320.

The spelling of 42526218 in words is "forty-two million, five hundred twenty-six thousand, two hundred eighteen".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 49 57 69 98 114 133 138 147 161 266 294 322 331 399 437 483 662 798 874 931 966 993 1127 1311 1862 1986 2254 2317 2622 2793 3059 3381 4634 5586 6118 6289 6762 6951 7613 9177 12578 13902 15226 16219 18354 18867 21413 22839 32438 37734 42826 44023 45678 48657 53291 64239 88046 97314 106582 128478 132069 144647 159873 264138 289294 308161 319746 373037 433941 616322 746074 867882 924483 1012529 1119111 1848966 2025058 2238222 3037587 6075174 7087703 14175406 21263109 42526218