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42227766 = 23271931569
BaseRepresentation
bin1010000100010…
…1100000110110
32221110101121100
42201011200312
541302242031
64105030530
71021634010
oct241054066
987411540
1042227766
1121922389
1212185446
138996859
1458731b0
153a91de6
hex2845836

42227766 has 96 divisors (see below), whose sum is σ = 113817600. Its totient is φ = 11041920.

The previous prime is 42227729. The next prime is 42227777. The reversal of 42227766 is 66772224.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42227766.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73930 + ... + 74498.

It is an arithmetic number, because the mean of its divisors is an integer number (1185600).

Almost surely, 242227766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42227766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56908800).

42227766 is an abundant number, since it is smaller than the sum of its proper divisors (71589834).

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

42227766 is a wasteful number, since it uses less digits than its factorization.

42227766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 631 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 42227766 is about 6498.2894672367. The cubic root of 42227766 is about 348.2298818013.

The spelling of 42227766 in words is "forty-two million, two hundred twenty-seven thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 31 38 42 57 62 63 93 114 126 133 171 186 217 266 279 342 399 434 558 569 589 651 798 1138 1178 1197 1302 1707 1767 1953 2394 3414 3534 3906 3983 4123 5121 5301 7966 8246 10242 10602 10811 11949 12369 17639 21622 23898 24738 32433 35278 35847 37107 52917 64866 71694 74214 75677 97299 105834 123473 151354 158751 194598 227031 246946 317502 335141 370419 454062 670282 681093 740838 1005423 1111257 1362186 2010846 2222514 2345987 3016269 4691974 6032538 7037961 14075922 21113883 42227766