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4528509640 = 23517107109571
BaseRepresentation
bin1000011011110101…
…11001001011001000
3102200121012010101021
410031322321023020
533233244302030
62025205402224
7220135461004
oct41572711310
912617163337
104528509640
111a14253356
12a64709374
13572279305
1430d60b704
151b787097a
hex10deb92c8

4528509640 has 128 divisors (see below), whose sum is σ = 11008483200. Its totient is φ = 1670492160.

The previous prime is 4528509637. The next prime is 4528509677. The reversal of 4528509640 is 469058254.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7930555 + ... + 7931125.

It is an arithmetic number, because the mean of its divisors is an integer number (86003775).

Almost surely, 24528509640 is an apocalyptic number.

4528509640 is a gapful number since it is divisible by the number (40) 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 4528509640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504241600).

4528509640 is an abundant number, since it is smaller than the sum of its proper divisors (6479973560).

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

4528509640 is a wasteful number, since it uses less digits than its factorization.

4528509640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The square root of 4528509640 is about 67294.2021276722. The cubic root of 4528509640 is about 1654.4428338390.

The spelling of 4528509640 in words is "four billion, five hundred twenty-eight million, five hundred nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 107 109 136 170 214 218 340 428 436 535 545 571 680 856 872 1070 1090 1142 1819 1853 2140 2180 2284 2855 3638 3706 4280 4360 4568 5710 7276 7412 9095 9265 9707 11420 11663 14552 14824 18190 18530 19414 22840 23326 36380 37060 38828 46652 48535 58315 61097 62239 72760 74120 77656 93304 97070 116630 122194 124478 194140 198271 233260 244388 248956 305485 311195 388280 396542 466520 488776 497912 610970 622390 793084 991355 1038649 1058063 1221940 1244780 1586168 1982710 2077298 2116126 2443880 2489560 3965420 4154596 4232252 5193245 5290315 6659573 7930840 8309192 8464504 10386490 10580630 13319146 20772980 21161260 26638292 33297865 41545960 42322520 53276584 66595730 113212741 133191460 226425482 266382920 452850964 566063705 905701928 1132127410 2264254820 4528509640