Search a number
-
+
45792097 = 13732661
BaseRepresentation
bin1010111010101…
…1101101100001
310012011110221121
42232223231201
543210321342
64313252241
71064140441
oct256535541
9105143847
1045792097
112393730a
1213404081
139644020
146120121
154048067
hex2babb61

45792097 has 12 divisors (see below), whose sum is σ = 50075004. Its totient is φ = 41627520.

The previous prime is 45792077. The next prime is 45792107. The reversal of 45792097 is 79029754.

It can be written as a sum of positive squares in 6 ways, for example, as 40401 + 45751696 = 201^2 + 6764^2 .

It is not a de Polignac number, because 45792097 - 211 = 45790049 is a prime.

It is a super-2 number, since 2×457920972 = 4193832295314818, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45792077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68947 + ... + 69607.

It is an arithmetic number, because the mean of its divisors is an integer number (4172917).

Almost surely, 245792097 is an apocalyptic number.

It is an amenable number.

45792097 is a deficient number, since it is larger than the sum of its proper divisors (4282907).

45792097 is an equidigital number, since it uses as much as digits as its factorization.

45792097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The square root of 45792097 is about 6766.9858134919. The cubic root of 45792097 is about 357.7641700784.

The spelling of 45792097 in words is "forty-five million, seven hundred ninety-two thousand, ninety-seven".

Divisors: 1 13 73 661 949 5329 8593 48253 69277 627289 3522469 45792097