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1052288721 = 321129832
BaseRepresentation
bin111110101110001…
…010011011010001
32201100001210202100
4332232022123101
54123341214341
6252230111013
735035210101
oct7656123321
92640053670
101052288721
1149aa98100
122544ab469
1313a017263
149da7d201
15625ae3b6
hex3eb8a6d1

1052288721 has 27 divisors (see below), whose sum is σ = 1672415017. Its totient is φ = 637101960.

The previous prime is 1052288719. The next prime is 1052288747. The reversal of 1052288721 is 1278822501.

The square root of 1052288721 is 32439.

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

It is not a de Polignac number, because 1052288721 - 21 = 1052288719 is a prime.

It is a super-2 number, since 2×10522887212 = 2214623104687631682, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1052288701) 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 26 ways as a sum of consecutive naturals, for example, 1069996 + ... + 1070978.

Almost surely, 21052288721 is an apocalyptic number.

1052288721 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1052288721 is the 32439-th square number.

1052288721 is the 16220-th centered octagonal number.

It is an amenable number.

1052288721 is a deficient number, since it is larger than the sum of its proper divisors (620126296).

1052288721 is an frugal number, since it uses more digits than its factorization.

1052288721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The cubic root of 1052288721 is about 1017.1343122210.

Multiplying 1052288721 by its sum of digits (36), we get a square (37882393956 = 1946342).

The spelling of 1052288721 in words is "one billion, fifty-two million, two hundred eighty-eight thousand, seven hundred twenty-one".

Divisors: 1 3 9 11 33 99 121 363 983 1089 2949 8847 10813 32439 97317 118943 356829 966289 1070487 2898867 8696601 10629179 31887537 95662611 116920969 350762907 1052288721