[go: up one dir, main page]

Search a number
-
+
40283784 = 23332959109
BaseRepresentation
bin1001100110101…
…0111010001000
32210210121222000
42121222322020
540303040114
63555231000
7666256302
oct231527210
983717860
1040283784
1120814892
12115a8460
138465a78
1454c8972
15380ae09
hex266ae88

40283784 has 128 divisors (see below), whose sum is σ = 118800000. Its totient is φ = 12628224.

The previous prime is 40283783. The next prime is 40283791. The reversal of 40283784 is 48738204.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40283783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369522 + ... + 369630.

It is an arithmetic number, because the mean of its divisors is an integer number (928125).

Almost surely, 240283784 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 40283784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59400000).

40283784 is an abundant number, since it is smaller than the sum of its proper divisors (78516216).

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

40283784 is a wasteful number, since it uses less digits than its factorization.

40283784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 40283784 is about 6346.9507639496. The cubic root of 40283784 is about 342.8020572215.

The spelling of 40283784 in words is "forty million, two hundred eighty-three thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 59 72 87 108 109 116 118 174 177 216 218 232 236 261 327 348 354 436 472 522 531 654 696 708 783 872 981 1044 1062 1308 1416 1566 1593 1711 1962 2088 2124 2616 2943 3132 3161 3186 3422 3924 4248 5133 5886 6264 6322 6372 6431 6844 7848 9483 10266 11772 12644 12744 12862 13688 15399 18966 19293 20532 23544 25288 25724 28449 30798 37932 38586 41064 46197 51448 56898 57879 61596 75864 77172 85347 92394 113796 115758 123192 154344 170694 173637 184788 186499 227592 231516 341388 347274 369576 372998 463032 559497 682776 694548 745996 1118994 1389096 1491992 1678491 2237988 3356982 4475976 5035473 6713964 10070946 13427928 20141892 40283784