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5460753042 = 232929326561
BaseRepresentation
bin1010001010111110…
…00111101010010010
3112002120100222220200
411011133013222102
542140423044132
62301510520030
7252215430543
oct50537075222
915076328820
105460753042
1123524a8648
121084966016
13690451b24
1439b35c4ca
1521e61ad7c
hex1457c7a92

5460753042 has 24 divisors (see below), whose sum is σ = 11844403740. Its totient is φ = 1818286080.

The previous prime is 5460753037. The next prime is 5460753043. The reversal of 5460753042 is 2403570645.

5460753042 is a `hidden beast` number, since 5 + 4 + 607 + 5 + 3 + 0 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5148206001 + 312547041 = 71751^2 + 17679^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5460752988 and 5460753006.

It is not an unprimeable number, because it can be changed into a prime (5460753043) 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 11 ways as a sum of consecutive naturals, for example, 146559 + ... + 180002.

Almost surely, 25460753042 is an apocalyptic number.

5460753042 is an abundant number, since it is smaller than the sum of its proper divisors (6383650698).

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

5460753042 is a wasteful number, since it uses less digits than its factorization.

5460753042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327498 (or 327495 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 5460753042 is about 73896.9082032530. The cubic root of 5460753042 is about 1760.9654914797.

The spelling of 5460753042 in words is "five billion, four hundred sixty million, seven hundred fifty-three thousand, forty-two".

Divisors: 1 2 3 6 9 18 929 1858 2787 5574 8361 16722 326561 653122 979683 1959366 2939049 5878098 303375169 606750338 910125507 1820251014 2730376521 5460753042