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1054495729 = 7246392
BaseRepresentation
bin111110110110100…
…101001111110001
32201111012221012101
4332312211033301
54124422330404
6252345300401
735063031400
oct7666451761
92644187171
101054495729
114a1265281
12255194701
1313a60a991
14a0095637
15628982a4
hex3eda53f1

1054495729 has 9 divisors (see below), whose sum is σ = 1226922777. Its totient is φ = 903658644.

The previous prime is 1054495679. The next prime is 1054495747. The reversal of 1054495729 is 9275944501.

The square root of 1054495729 is 32473.

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

It is not a de Polignac number, because 1054495729 - 211 = 1054493681 is a prime.

It is a super-2 number, since 2×10544957292 = 2223922484958482882, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1054495759) 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 8 ways as a sum of consecutive naturals, for example, 224992 + ... + 229630.

It is an arithmetic number, because the mean of its divisors is an integer number (136324753).

Almost surely, 21054495729 is an apocalyptic number.

1054495729 is the 32473-rd square number.

1054495729 is the 16237-th centered octagonal number.

It is an amenable number.

1054495729 is a deficient number, since it is larger than the sum of its proper divisors (172427048).

1054495729 is an frugal number, since it uses more digits than its factorization.

1054495729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9292 (or 4646 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The cubic root of 1054495729 is about 1017.8449080739.

The spelling of 1054495729 in words is "one billion, fifty-four million, four hundred ninety-five thousand, seven hundred twenty-nine".

Divisors: 1 7 49 4639 32473 227311 21520321 150642247 1054495729