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557607973 = 13175094957
BaseRepresentation
bin100001001111000…
…110110000100101
31102212020102100011
4201033012300211
52120221423343
6131155250221
716550406136
oct4117066045
91385212304
10557607973
1126683413a
121368a9971
138b6a5360
14540adc8d
1533e4729d
hex213c6c25

557607973 has 16 divisors (see below), whose sum is σ = 637202160. Its totient is φ = 483388416.

The previous prime is 557607959. The next prime is 557607977. The reversal of 557607973 is 379706755.

It can be written as a sum of positive squares in 8 ways, for example, as 53246209 + 504361764 = 7297^2 + 22458^2 .

It is a cyclic number.

It is not a de Polignac number, because 557607973 - 29 = 557607461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557607977) 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, 110011 + ... + 114967.

It is an arithmetic number, because the mean of its divisors is an integer number (39825135).

Almost surely, 2557607973 is an apocalyptic number.

It is an amenable number.

557607973 is a deficient number, since it is larger than the sum of its proper divisors (79594187).

557607973 is a wasteful number, since it uses less digits than its factorization.

557607973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5496.

The product of its (nonzero) digits is 1389150, while the sum is 49.

The square root of 557607973 is about 23613.7242509520. The cubic root of 557607973 is about 823.0817866867.

The spelling of 557607973 in words is "five hundred fifty-seven million, six hundred seven thousand, nine hundred seventy-three".

Divisors: 1 13 17 221 509 4957 6617 8653 64441 84269 112489 1095497 2523113 32800469 42892921 557607973