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538657938 = 23471361599
BaseRepresentation
bin100000000110110…
…100010010010010
31101112120122210000
4200012310102102
52100344023223
6125241150430
716230342210
oct4006642222
91345518700
10538657938
11257070755
1213048b416
138779bb10
1451779cb0
1532452543
hex201b4492

538657938 has 160 divisors (see below), whose sum is σ = 1512403200. Its totient is φ = 139501440.

The previous prime is 538657913. The next prime is 538657949. The reversal of 538657938 is 839756835.

It is a happy number.

538657938 is a `hidden beast` number, since 5 + 38 + 6 + 579 + 38 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 898963 + ... + 899561.

It is an arithmetic number, because the mean of its divisors is an integer number (9452520).

Almost surely, 2538657938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538657938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756201600).

538657938 is an abundant number, since it is smaller than the sum of its proper divisors (973745262).

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

538657938 is a wasteful number, since it uses less digits than its factorization.

538657938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 685 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 538657938 is about 23209.0055366446. The cubic root of 538657938 is about 813.6501111224.

The spelling of 538657938 in words is "five hundred thirty-eight million, six hundred fifty-seven thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 61 63 78 81 91 117 122 126 162 182 183 189 234 273 351 366 378 427 546 549 567 599 702 793 819 854 1053 1098 1134 1198 1281 1586 1638 1647 1797 2106 2379 2457 2562 3294 3594 3843 4193 4758 4914 4941 5391 5551 7137 7371 7686 7787 8386 9882 10782 11102 11529 12579 14274 14742 15574 16173 16653 21411 23058 23361 25158 32346 33306 34587 36539 37737 42822 46722 48519 49959 54509 64233 69174 70083 73078 75474 97038 99918 109018 109617 113211 128466 140166 149877 163527 210249 219234 226422 255773 299754 327054 328851 339633 420498 449631 475007 490581 511546 630747 657702 679266 767319 899262 950014 981162 986553 1261494 1425021 1471743 1534638 1973106 2301957 2850042 2943486 2959659 3325049 4275063 4415229 4603914 5919318 6650098 6905871 8550126 8830458 9975147 12825189 13811742 19950294 20717613 25650378 29925441 38475567 41435226 59850882 76951134 89776323 179552646 269328969 538657938