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528713136 = 24337224977
BaseRepresentation
bin11111100000111…
…000010110110000
31100211212102002000
4133200320112300
52040322310021
6124244054000
716046662500
oct3740702660
91324772060
10528713136
11251499006
12129094300
13856c9413
145030ba00
153163ab26
hex1f8385b0

528713136 has 120 divisors (see below), whose sum is σ = 1765445040. Its totient is φ = 151054848.

The previous prime is 528713099. The next prime is 528713137. The reversal of 528713136 is 631317825.

528713136 is a `hidden beast` number, since 528 + 71 + 31 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 528713136.

It is not an unprimeable number, because it can be changed into a prime (528713137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8680 + ... + 33656.

It is an arithmetic number, because the mean of its divisors is an integer number (14712042).

Almost surely, 2528713136 is an apocalyptic number.

528713136 is a gapful number since it is divisible by the number (56) 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 528713136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882722520).

528713136 is an abundant number, since it is smaller than the sum of its proper divisors (1236731904).

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

528713136 is a wasteful number, since it uses less digits than its factorization.

528713136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25008 (or 24989 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 528713136 is about 22993.7629804258. The cubic root of 528713136 is about 808.6117234711.

The spelling of 528713136 in words is "five hundred twenty-eight million, seven hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 10584 21168 24977 49954 74931 99908 149862 174839 199816 224793 299724 349678 399632 449586 524517 599448 674379 699356 899172 1049034 1198896 1223873 1348758 1398712 1573551 1798344 2098068 2447746 2697516 2797424 3147102 3596688 3671619 4196136 4720653 4895492 5395032 6294204 7343238 8392272 9441306 9790984 10790064 11014857 12588408 14686476 18882612 19581968 22029714 25176816 29372952 33044571 37765224 44059428 58745904 66089142 75530448 88118856 132178284 176237712 264356568 528713136