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1148328769 = 724721032
BaseRepresentation
bin100010001110010…
…0001101101000001
32222000210010221011
41010130201231001
54322433010034
6305540400521
740312430200
oct10434415501
92860703834
101148328769
1153a224445
122806a6141
13153ba24a3
14ac71d237
156ac30864
hex44721b41

1148328769 has 27 divisors (see below), whose sum is σ = 1378216737. Its totient is φ = 953986824.

The previous prime is 1148328757. The next prime is 1148328799. The reversal of 1148328769 is 9678238411.

The square root of 1148328769 is 33887.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1148328769 - 211 = 1148326721 is a prime.

It is a super-2 number, since 2×11483287692 = 2637317923426110722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1148328719) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11148772 + ... + 11148874.

Almost surely, 21148328769 is an apocalyptic number.

1148328769 is the 33887-th square number.

1148328769 is the 16944-th centered octagonal number.

It is an amenable number.

1148328769 is a deficient number, since it is larger than the sum of its proper divisors (229887968).

1148328769 is an frugal number, since it uses more digits than its factorization.

1148328769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 157 counting only the distinct ones).

The product of its digits is 580608, while the sum is 49.

The cubic root of 1148328769 is about 1047.1817908174.

Multiplying 1148328769 by its sum of digits (49), we get a square (56268109681 = 2372092).

1148328769 divided by its sum of digits (49) gives a square (23435281 = 48412).

The spelling of 1148328769 in words is "one billion, one hundred forty-eight million, three hundred twenty-eight thousand, seven hundred sixty-nine".

Divisors: 1 7 47 49 103 329 721 2209 2303 4841 5047 10609 15463 33887 74263 108241 227527 237209 498623 519841 1592689 3490361 11148823 23435281 24432527 164046967 1148328769