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557238066 = 23711232292
BaseRepresentation
bin100001001101101…
…100011100110010
31102211112121220220
4201031230130302
52120123104231
6131143313510
716544305530
oct4115543462
91384477826
10557238066
11266601230
1213674b896
138b5a5b88
1454015150
1533dc2896
hex2136c732

557238066 has 96 divisors (see below), whose sum is σ = 1456247808. Its totient is φ = 137839680.

The previous prime is 557238041. The next prime is 557238083. The reversal of 557238066 is 660832755.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2433240 + ... + 2433468.

It is an arithmetic number, because the mean of its divisors is an integer number (15169248).

Almost surely, 2557238066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557238066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728123904).

557238066 is an abundant number, since it is smaller than the sum of its proper divisors (899009742).

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

557238066 is a wasteful number, since it uses less digits than its factorization.

557238066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 557238066 is about 23605.8904936882. The cubic root of 557238066 is about 822.8997405902.

The spelling of 557238066 in words is "five hundred fifty-seven million, two hundred thirty-eight thousand, sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 229 231 253 322 458 462 483 506 687 759 966 1374 1518 1603 1771 2519 3206 3542 4809 5038 5267 5313 7557 9618 10534 10626 15114 15801 17633 31602 35266 36869 52441 52899 57937 73738 104882 105798 110607 115874 157323 173811 221214 314646 347622 367087 405559 576851 734174 811118 1101261 1153702 1206143 1216677 1730553 2202522 2412286 2433354 3461106 3618429 4037957 7236858 8075914 8443001 12113871 13267573 16886002 24227742 25329003 26535146 39802719 50658006 79605438 92873011 185746022 278619033 557238066