Search a number
-
+
97000057 = 731147547
BaseRepresentation
bin1011100100000…
…01101001111001
320202112010001201
411302001221321
5144313000212
613343014201
72255326000
oct562015171
9222463051
1097000057
114a832640
122859a361
13171331ab
14cc4dc37
1587b0b57
hex5c81a79

97000057 has 32 divisors (see below), whose sum is σ = 126259200. Its totient is φ = 73841040.

The previous prime is 97000037. The next prime is 97000061. The reversal of 97000057 is 75000079.

It is not a de Polignac number, because 97000057 - 211 = 96998009 is a prime.

It is a super-2 number, since 2×970000572 = 18818022116006498, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 96999989 and 97000034.

It is not an unprimeable number, because it can be changed into a prime (97000037) 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 31 ways as a sum of consecutive naturals, for example, 177058 + ... + 177604.

It is an arithmetic number, because the mean of its divisors is an integer number (3945600).

Almost surely, 297000057 is an apocalyptic number.

It is an amenable number.

97000057 is a deficient number, since it is larger than the sum of its proper divisors (29259143).

97000057 is a wasteful number, since it uses less digits than its factorization.

97000057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 28.

The square root of 97000057 is about 9848.8606955323. The cubic root of 97000057 is about 459.4701792200.

The spelling of 97000057 in words is "ninety-seven million, fifty-seven", and thus it is an aban number and an uban number.

Divisors: 1 7 11 47 49 77 329 343 517 539 547 2303 3619 3773 3829 6017 16121 25333 25709 26803 42119 177331 179963 187621 282799 294833 1259741 1979593 2063831 8818187 13857151 97000057