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40961655 = 32571091193
BaseRepresentation
bin1001110001000…
…0011001110111
32212002001211100
42130100121313
540441233110
64021541143
71005111510
oct234203167
985061740
1040961655
1121138109
12118747b3
138642487
145623a07
1538e1bc0
hex2710677

40961655 has 48 divisors (see below), whose sum is σ = 81956160. Its totient is φ = 18537984.

The previous prime is 40961647. The next prime is 40961677. The reversal of 40961655 is 55616904.

40961655 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40961655 - 23 = 40961647 is a prime.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 33739 + ... + 34931.

It is an arithmetic number, because the mean of its divisors is an integer number (1707420).

Almost surely, 240961655 is an apocalyptic number.

40961655 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40961655 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

40961655 is a wasteful number, since it uses less digits than its factorization.

40961655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 40961655 is about 6400.1292955690. The cubic root of 40961655 is about 344.7141930371.

It can be divided in two parts, 40961 and 655, that added together give a triangular number (41616 = T288).

The spelling of 40961655 in words is "forty million, nine hundred sixty-one thousand, six hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 109 315 327 545 763 981 1193 1635 2289 3579 3815 4905 5965 6867 8351 10737 11445 17895 25053 34335 41755 53685 75159 125265 130037 375795 390111 650185 910259 1170333 1950555 2730777 4551295 5851665 8192331 13653885 40961655