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40808313 = 3371317977
BaseRepresentation
bin1001101110101…
…0111101111001
32211210021111000
42123222331321
540421331223
64014355213
71003602450
oct233527571
984707430
1040808313
1121042987
12117bbb09
1385ba740
1455c3b97
1538b1543
hex26eaf79

40808313 has 64 divisors (see below), whose sum is σ = 78865920. Its totient is φ = 20238336.

The previous prime is 40808303. The next prime is 40808321. The reversal of 40808313 is 31380804.

It is not a de Polignac number, because 40808313 - 24 = 40808297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40808303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41281 + ... + 42257.

It is an arithmetic number, because the mean of its divisors is an integer number (1232280).

Almost surely, 240808313 is an apocalyptic number.

It is an amenable number.

40808313 is a deficient number, since it is larger than the sum of its proper divisors (38057607).

40808313 is a wasteful number, since it uses less digits than its factorization.

40808313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 40808313 is about 6388.1384612421. The cubic root of 40808313 is about 344.2835035576.

The spelling of 40808313 in words is "forty million, eight hundred eight thousand, three hundred thirteen".

Divisors: 1 3 7 9 13 17 21 27 39 51 63 91 117 119 153 189 221 273 351 357 459 663 819 977 1071 1547 1989 2457 2931 3213 4641 5967 6839 8793 12701 13923 16609 20517 26379 38103 41769 49827 61551 88907 114309 116263 149481 184653 215917 266721 342927 348789 448443 647751 800163 1046367 1511419 1943253 2400489 3139101 4534257 5829759 13602771 40808313