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928969441 = 29210512
BaseRepresentation
bin110111010111101…
…111001011100001
32101202000112111121
4313113233023201
53400304010231
6232103012241
732010052501
oct6727571341
92352015447
10928969441
11437419544
1221b13a081
1311a5ca57a
148b53ba01
1556850311
hex375ef2e1

928969441 has 9 divisors (see below), whose sum is σ = 963023763. Its totient is φ = 896082600.

The previous prime is 928969381. The next prime is 928969501. The reversal of 928969441 is 144969829.

The square root of 928969441 is 30479.

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

It is an interprime number because it is at equal distance from previous prime (928969381) and next prime (928969501).

It can be written as a sum of positive squares in only one way, i.e., 487129041 + 441840400 = 22071^2 + 21020^2 .

It is not a de Polignac number, because 928969441 - 213 = 928961249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (928919441) 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, 883366 + ... + 884416.

Almost surely, 2928969441 is an apocalyptic number.

928969441 is the 30479-th square number.

928969441 is the 15240-th centered octagonal number.

It is an amenable number.

928969441 is a deficient number, since it is larger than the sum of its proper divisors (34054322).

928969441 is an frugal number, since it uses more digits than its factorization.

928969441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 1080 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 52.

The cubic root of 928969441 is about 975.7393265063.

The spelling of 928969441 in words is "nine hundred twenty-eight million, nine hundred sixty-nine thousand, four hundred forty-one".

Divisors: 1 29 841 1051 30479 883891 1104601 32033429 928969441