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40117224 = 2337317703
BaseRepresentation
bin1001100100001…
…0001111101000
32210111011111010
42121002033220
540232222344
63551503520
7664663560
oct231021750
983434433
1040117224
1120710734
1211527ba0
138408004
145483da0
1537c68b9
hex26423e8

40117224 has 64 divisors (see below), whose sum is σ = 118333440. Its totient is φ = 11090880.

The previous prime is 40117211. The next prime is 40117249. The reversal of 40117224 is 42271104.

It is a happy number.

It is a super-2 number, since 2×401172242 = 3218783322932352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 40117224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1357 + ... + 9059.

It is an arithmetic number, because the mean of its divisors is an integer number (1848960).

Almost surely, 240117224 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 40117224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59166720).

40117224 is an abundant number, since it is smaller than the sum of its proper divisors (78216216).

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

40117224 is a wasteful number, since it uses less digits than its factorization.

40117224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7750 (or 7746 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 40117224 is about 6333.8159114392. The cubic root of 40117224 is about 342.3289472110.

Adding to 40117224 its reverse (42271104), we get a palindrome (82388328).

The spelling of 40117224 in words is "forty million, one hundred seventeen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 7703 15406 23109 30812 46218 53921 61624 92436 107842 161763 184872 215684 238793 323526 431368 477586 647052 716379 955172 1294104 1432758 1671551 1910344 2865516 3343102 5014653 5731032 6686204 10029306 13372408 20058612 40117224