Search a number
-
+
933241401 = 321725992
BaseRepresentation
bin110111101000000…
…010001000111001
32102001001120112100
4313220002020321
53402402211101
6232334334013
732061264261
oct6750021071
92361046470
10933241401
11439877094
1222065a309
1311b464b61
148bd307a1
1556de5e86
hex37a02239

933241401 has 27 divisors (see below), whose sum is σ = 1434369391. Its totient is φ = 584585664.

The previous prime is 933241369. The next prime is 933241403. The reversal of 933241401 is 104142339.

The square root of 933241401 is 30549.

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

It can be written as a sum of positive squares in only one way, i.e., 726572025 + 206669376 = 26955^2 + 14376^2 .

It is not a de Polignac number, because 933241401 - 25 = 933241369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (933241403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1557700 + ... + 1558298.

Almost surely, 2933241401 is an apocalyptic number.

933241401 is the 30549-th square number.

933241401 is the 15275-th centered octagonal number.

It is an amenable number.

933241401 is a deficient number, since it is larger than the sum of its proper divisors (501127990).

933241401 is an equidigital number, since it uses as much as digits as its factorization.

933241401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The cubic root of 933241401 is about 977.2327183532.

The spelling of 933241401 in words is "nine hundred thirty-three million, two hundred forty-one thousand, four hundred one".

Divisors: 1 3 9 17 51 153 289 599 867 1797 2601 5391 10183 30549 91647 173111 358801 519333 1076403 1557999 3229209 6099617 18298851 54896553 103693489 311080467 933241401