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42727256 = 231113417
BaseRepresentation
bin1010001011111…
…1011101011000
32222101202202222
42202333131120
541414233011
64123443212
71026114155
oct242773530
988352688
1042727256
1122133690
1212386508
138b10000
14596322c
153b3eddb
hex28bf758

42727256 has 80 divisors (see below), whose sum is σ = 100248840. Its totient is φ = 16872960.

The previous prime is 42727249. The next prime is 42727259. The reversal of 42727256 is 65272724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42727259) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2513360 + ... + 2513376.

Almost surely, 242727256 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 42727256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50124420).

42727256 is an abundant number, since it is smaller than the sum of its proper divisors (57521584).

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

42727256 is a wasteful number, since it uses less digits than its factorization.

42727256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 43 counting only the distinct ones).

The product of its digits is 47040, while the sum is 35.

The square root of 42727256 is about 6536.6089067650. The cubic root of 42727256 is about 349.5975128422.

The spelling of 42727256 in words is "forty-two million, seven hundred twenty-seven thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 104 136 143 169 187 221 286 338 374 442 572 676 748 884 1144 1352 1496 1768 1859 2197 2431 2873 3718 4394 4862 5746 7436 8788 9724 11492 14872 17576 19448 22984 24167 28561 31603 37349 48334 57122 63206 74698 96668 114244 126412 149396 193336 228488 252824 298792 314171 410839 485537 628342 821678 971074 1256684 1643356 1942148 2513368 3286712 3884296 5340907 10681814 21363628 42727256