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1540552041 = 3474757809
BaseRepresentation
bin101101111010010…
…1111010101101001
310222100211011010000
41123310233111221
511123340131131
6412511213213
753114322240
oct13364572551
93870734100
101540552041
11720668606
1236bb17209
131b7220172
1410885b957
15903a9ce6
hex5bd2f569

1540552041 has 40 divisors (see below), whose sum is σ = 2686083840. Its totient is φ = 861570432.

The previous prime is 1540552033. The next prime is 1540552051. The reversal of 1540552041 is 1402550451.

It is not a de Polignac number, because 1540552041 - 23 = 1540552033 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1540551996 and 1540552014.

It is not an unprimeable number, because it can be changed into a prime (1540552001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2256 + ... + 55553.

It is an arithmetic number, because the mean of its divisors is an integer number (67152096).

Almost surely, 21540552041 is an apocalyptic number.

It is an amenable number.

1540552041 is a deficient number, since it is larger than the sum of its proper divisors (1145531799).

1540552041 is an equidigital number, since it uses as much as digits as its factorization.

1540552041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57875 (or 57866 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 1540552041 is about 39249.8667641051. The cubic root of 1540552041 is about 1154.9383202009.

The spelling of 1540552041 in words is "one billion, five hundred forty million, five hundred fifty-two thousand, forty-one".

Divisors: 1 3 7 9 21 27 47 63 81 141 189 329 423 567 987 1269 2961 3807 8883 26649 57809 173427 404663 520281 1213989 1560843 2717023 3641967 4682529 8151069 10925901 19019161 24453207 32777703 57057483 73359621 171172449 220078863 513517347 1540552041