Search a number
-
+
96452041 = 72232612
BaseRepresentation
bin1011011111110…
…11110111001001
320201111021022211
411233323313021
5144142431131
613323145121
72250554200
oct557736711
9221437284
1096452041
114a498934
12283751a1
1316ca091a
14cb4a237
1587035b1
hex5bfbdc9

96452041 has 27 divisors (see below), whose sum is σ = 119243943. Its totient is φ = 77782320.

The previous prime is 96452023. The next prime is 96452051. The reversal of 96452041 is 14025469.

The square root of 96452041 is 9821.

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., 3136441 + 93315600 = 1771^2 + 9660^2 .

It is not a de Polignac number, because 96452041 - 215 = 96419273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 96451994 and 96452012.

It is not an unprimeable number, because it can be changed into a prime (96452011) 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 26 ways as a sum of consecutive naturals, for example, 1581151 + ... + 1581211.

Almost surely, 296452041 is an apocalyptic number.

96452041 is the 9821-st square number.

96452041 is the 4911-st centered octagonal number.

It is an amenable number.

96452041 is a deficient number, since it is larger than the sum of its proper divisors (22791902).

96452041 is an equidigital number, since it uses as much as digits as its factorization.

96452041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The cubic root of 96452041 is about 458.6032632631.

The spelling of 96452041 in words is "ninety-six million, four hundred fifty-two thousand, forty-one".

Divisors: 1 7 23 49 61 161 427 529 1127 1403 2989 3703 3721 9821 25921 26047 32269 68747 85583 182329 225883 599081 1581181 1968409 4193567 13778863 96452041