Search a number
-
+
40362696 = 233211241113
BaseRepresentation
bin1001100111111…
…0001011001000
32210221122012200
42121332023020
540313101241
64001040200
71000035333
oct231761310
983848180
1040362696
1120869100
1211626060
13849296a
14550961a
1538244b6
hex267e2c8

40362696 has 144 divisors (see below), whose sum is σ = 124176780. Its totient is φ = 11827200.

The previous prime is 40362691. The next prime is 40362701. The reversal of 40362696 is 69626304.

40362696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40362691) and next prime (40362701).

It can be written as a sum of positive squares in 2 ways, for example, as 27185796 + 13176900 = 5214^2 + 3630^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 40362696.

It is not an unprimeable number, because it can be changed into a prime (40362691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 357136 + ... + 357248.

Almost surely, 240362696 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 40362696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62088390).

40362696 is an abundant number, since it is smaller than the sum of its proper divisors (83814084).

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

40362696 is a wasteful number, since it uses less digits than its factorization.

40362696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 40362696 is about 6353.1642509855. The cubic root of 40362696 is about 343.0257498086.

The spelling of 40362696 in words is "forty million, three hundred sixty-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 41 44 66 72 82 88 99 113 121 123 132 164 198 226 242 246 264 328 339 363 369 396 451 452 484 492 678 726 738 792 902 904 968 984 1017 1089 1243 1353 1356 1452 1476 1804 2034 2178 2486 2706 2712 2904 2952 3608 3729 4059 4068 4356 4633 4961 4972 5412 7458 8118 8136 8712 9266 9922 9944 10824 11187 13673 13899 14883 14916 16236 18532 19844 22374 27346 27798 29766 29832 32472 37064 39688 41019 41697 44649 44748 50963 54692 55596 59532 82038 83394 89298 89496 101926 109384 111192 119064 123057 152889 164076 166788 178596 203852 246114 305778 328152 333576 357192 407704 458667 492228 560593 611556 917334 984456 1121186 1223112 1681779 1834668 2242372 3363558 3669336 4484744 5045337 6727116 10090674 13454232 20181348 40362696