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970465457 = 13534493137
BaseRepresentation
bin111001110110000…
…010000010110001
32111122002202100002
4321312002002301
53441414343312
6240144235345
733022551233
oct7166020261
92448082302
10970465457
11458891075
1223100bb55
13126099020
1492c60253
155a2ea4c2
hex39d820b1

970465457 has 16 divisors (see below), whose sum is σ = 1067547600. Its totient is φ = 876675072.

The previous prime is 970465439. The next prime is 970465487. The reversal of 970465457 is 754564079.

It can be written as a sum of positive squares in 8 ways, for example, as 114083761 + 856381696 = 10681^2 + 29264^2 .

It is not a de Polignac number, because 970465457 - 28 = 970465201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (970465487) 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 15 ways as a sum of consecutive naturals, for example, 307793 + ... + 310929.

It is an arithmetic number, because the mean of its divisors is an integer number (66721725).

Almost surely, 2970465457 is an apocalyptic number.

It is an amenable number.

970465457 is a deficient number, since it is larger than the sum of its proper divisors (97082143).

970465457 is a wasteful number, since it uses less digits than its factorization.

970465457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3652.

The product of its (nonzero) digits is 1058400, while the sum is 47.

The square root of 970465457 is about 31152.2945703844. The cubic root of 970465457 is about 990.0566090134.

The spelling of 970465457 in words is "nine hundred seventy million, four hundred sixty-five thousand, four hundred fifty-seven".

Divisors: 1 13 53 449 689 3137 5837 23797 40781 166261 309361 1408513 2161393 18310669 74651189 970465457