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557060616 = 233272157897
BaseRepresentation
bin100001001101000…
…001001000001000
31102211012121111200
4201031001020020
52120101414431
6131135424200
716542636300
oct4115011010
91384177450
10557060616
1126649a982
12136685060
138b543188
1453daa600
1533d89ee6
hex21341208

557060616 has 72 divisors (see below), whose sum is σ = 1755036270. Its totient is φ = 159159168.

The previous prime is 557060597. The next prime is 557060617. The reversal of 557060616 is 616060755.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 523952100 + 33108516 = 22890^2 + 5754^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (557060617) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 75421 + ... + 82476.

Almost surely, 2557060616 is an apocalyptic number.

557060616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

557060616 is an abundant number, since it is smaller than the sum of its proper divisors (1197975654).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

557060616 is a wasteful number, since it uses less digits than its factorization.

557060616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157923 (or 157909 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 557060616 is about 23602.1315986502. The cubic root of 557060616 is about 822.8123817211.

The spelling of 557060616 in words is "five hundred fifty-seven million, sixty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 157897 315794 473691 631588 947382 1105279 1263176 1421073 1894764 2210558 2842146 3315837 3789528 4421116 5684292 6631674 7736953 8842232 9947511 11368584 13263348 15473906 19895022 23210859 26526696 30947812 39790044 46421718 61895624 69632577 79580088 92843436 139265154 185686872 278530308 557060616