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527138392 = 2311101127467
BaseRepresentation
bin11111011010110…
…111111001011000
31100201220101221011
4133122313321120
52034421412032
6124150223304
716030413424
oct3732677130
91321811834
10527138392
11250612970
12128654b34
1385297711
145001bb84
1531429247
hex1f6b7e58

527138392 has 64 divisors (see below), whose sum is σ = 1099837440. Its totient is φ = 234864000.

The previous prime is 527138387. The next prime is 527138401. The reversal of 527138392 is 293831725.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1128543 + ... + 1129009.

It is an arithmetic number, because the mean of its divisors is an integer number (17184960).

Almost surely, 2527138392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527138392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549918720).

527138392 is an abundant number, since it is smaller than the sum of its proper divisors (572699048).

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

527138392 is a wasteful number, since it uses less digits than its factorization.

527138392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 708 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The square root of 527138392 is about 22959.4945937405. The cubic root of 527138392 is about 807.8081227550.

The spelling of 527138392 in words is "five hundred twenty-seven million, one hundred thirty-eight thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 22 44 88 101 127 202 254 404 467 508 808 934 1016 1111 1397 1868 2222 2794 3736 4444 5137 5588 8888 10274 11176 12827 20548 25654 41096 47167 51308 59309 94334 102616 118618 141097 188668 237236 282194 377336 474472 518837 564388 652399 1037674 1128776 1304798 2075348 2609596 4150696 5219192 5990209 11980418 23960836 47921672 65892299 131784598 263569196 527138392