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40690296 = 2333257733
BaseRepresentation
bin1001101100111…
…0001001111000
32211120021121000
42123032021320
540404042141
64012045000
71002601413
oct233161170
984507530
1040690296
1120a72249
1211763760
138578aca
145592b7a
15388b5b6
hex26ce278

40690296 has 64 divisors (see below), whose sum is σ = 113623200. Its totient is φ = 13492224.

The previous prime is 40690291. The next prime is 40690301. The reversal of 40690296 is 69209604.

40690296 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 (40690291) and next prime (40690301).

It is a super-3 number, since 3×406902963 (a number of 24 digits) contains 333 as substring.

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 40690296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40690291) 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 15 ways as a sum of consecutive naturals, for example, 55146 + ... + 55878.

Almost surely, 240690296 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 40690296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56811600).

40690296 is an abundant number, since it is smaller than the sum of its proper divisors (72932904).

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

40690296 is a wasteful number, since it uses less digits than its factorization.

40690296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 40690296 is about 6378.8945750812. The cubic root of 40690296 is about 343.9512956105.

The spelling of 40690296 in words is "forty million, six hundred ninety thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 257 514 733 771 1028 1466 1542 2056 2199 2313 2932 3084 4398 4626 5864 6168 6597 6939 8796 9252 13194 13878 17592 18504 19791 26388 27756 39582 52776 55512 79164 158328 188381 376762 565143 753524 1130286 1507048 1695429 2260572 3390858 4521144 5086287 6781716 10172574 13563432 20345148 40690296