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40828617 = 35401419
BaseRepresentation
bin1001101110111…
…1111011001001
32211211022100000
42123233323021
540423003432
64015033213
71004015604
oct233577311
984738300
1040828617
1121057165
121180b809
1385c6a5b
1455cb33b
1538b757c
hex26efec9

40828617 has 24 divisors (see below), whose sum is σ = 61457760. Its totient is φ = 27086400.

The previous prime is 40828597. The next prime is 40828633. The reversal of 40828617 is 71682804.

It is not a de Polignac number, because 40828617 - 26 = 40828553 is a prime.

It is a super-3 number, since 3×408286173 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (40828637) 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 23 ways as a sum of consecutive naturals, for example, 97234 + ... + 97652.

It is an arithmetic number, because the mean of its divisors is an integer number (2560740).

Almost surely, 240828617 is an apocalyptic number.

It is an amenable number.

40828617 is a deficient number, since it is larger than the sum of its proper divisors (20629143).

40828617 is an equidigital number, since it uses as much as digits as its factorization.

40828617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 40828617 is about 6389.7274589766. The cubic root of 40828617 is about 344.3405930142.

The spelling of 40828617 in words is "forty million, eight hundred twenty-eight thousand, six hundred seventeen".

Divisors: 1 3 9 27 81 243 401 419 1203 1257 3609 3771 10827 11313 32481 33939 97443 101817 168019 504057 1512171 4536513 13609539 40828617