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40953465 = 3357241151
BaseRepresentation
bin1001110000111…
…0011001111001
32212001122121000
42130032121321
540441002330
64021435213
71005045600
oct234163171
985048530
1040953465
1121131a43
121186bb09
13863b827
145620a37
1538de560
hex270e679

40953465 has 96 divisors (see below), whose sum is σ = 87333120. Its totient is φ = 18144000.

The previous prime is 40953463. The next prime is 40953469. The reversal of 40953465 is 56435904.

It is a happy number.

It is not a de Polignac number, because 40953465 - 21 = 40953463 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40953463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 271140 + ... + 271290.

It is an arithmetic number, because the mean of its divisors is an integer number (909720).

Almost surely, 240953465 is an apocalyptic number.

40953465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40953465 is an abundant number, since it is smaller than the sum of its proper divisors (46379655).

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

40953465 is a wasteful number, since it uses less digits than its factorization.

40953465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 40953465 is about 6399.4894327595. The cubic root of 40953465 is about 344.6912170984.

The spelling of 40953465 in words is "forty million, nine hundred fifty-three thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 41 45 49 63 105 123 135 147 151 189 205 245 287 315 369 441 453 615 735 755 861 945 1057 1107 1323 1359 1435 1845 2009 2205 2265 2583 3171 4077 4305 5285 5535 6027 6191 6615 6795 7399 7749 9513 10045 12915 15855 18081 18573 20385 22197 28539 30135 30955 36995 38745 43337 47565 54243 55719 66591 90405 92865 110985 130011 142695 167157 199773 216685 271215 278595 303359 332955 390033 650055 835785 910077 998865 1170099 1516795 1950165 2730231 4550385 5850495 8190693 13651155 40953465