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538056792 = 233271326317
BaseRepresentation
bin100000000100100…
…001100001011000
31101111110010011100
4200010201201120
52100220304132
6125220231400
716222256460
oct4004414130
91344403140
10538056792
112567a0039
1213023b560
138761b300
1451660ba0
153238437c
hex20121858

538056792 has 144 divisors (see below), whose sum is σ = 1803662640. Its totient is φ = 141882624.

The previous prime is 538056781. The next prime is 538056803. The reversal of 538056792 is 297650835.

It is a happy number.

538056792 is a `hidden beast` number, since 5 + 3 + 80 + 567 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (538056781) and next prime (538056803).

It is a super-2 number, since 2×5380567922 = 579010222834662528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82018 + ... + 88334.

It is an arithmetic number, because the mean of its divisors is an integer number (12525435).

Almost surely, 2538056792 is an apocalyptic number.

538056792 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538056792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901831320).

538056792 is an abundant number, since it is smaller than the sum of its proper divisors (1265605848).

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

538056792 is a wasteful number, since it uses less digits than its factorization.

538056792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6362 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 538056792 is about 23196.0512156703. The cubic root of 538056792 is about 813.3473187299.

The spelling of 538056792 in words is "five hundred thirty-eight million, fifty-six thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 169 182 234 252 273 312 338 364 468 504 507 546 676 728 819 936 1014 1092 1183 1352 1521 1638 2028 2184 2366 3042 3276 3549 4056 4732 6084 6317 6552 7098 9464 10647 12168 12634 14196 18951 21294 25268 28392 37902 42588 44219 50536 56853 75804 82121 85176 88438 113706 132657 151608 164242 176876 227412 246363 265314 328484 353752 397971 454824 492726 530628 574847 656968 739089 795942 985452 1061256 1067573 1149694 1478178 1591884 1724541 1970904 2135146 2299388 2956356 3183768 3202719 3449082 4270292 4598776 5173623 5912712 6405438 6898164 7473011 8540584 9608157 10347246 12810876 13796328 14946022 19216314 20694492 22419033 25621752 29892044 38432628 41388984 44838066 59784088 67257099 76865256 89676132 134514198 179352264 269028396 538056792