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525283380 = 22355293727
BaseRepresentation
bin11111010011110…
…011000000110100
31100121102011100000
4133103303000310
52033433032010
6124042351300
716005556266
oct3723630064
91317364300
10525283380
1124a5661a6
12127abb530
1384a9828b
144da97b36
15311ae7c0
hex1f4f3034

525283380 has 144 divisors (see below), whose sum is σ = 1709809920. Its totient is φ = 135209088.

The previous prime is 525283379. The next prime is 525283393. The reversal of 525283380 is 83382525.

525283380 is a `hidden beast` number, since 52 + 528 + 3 + 3 + 80 = 666.

It is a super-3 number, since 3×5252833803 (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139077 + ... + 142803.

It is an arithmetic number, because the mean of its divisors is an integer number (11873680).

Almost surely, 2525283380 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 525283380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854904960).

525283380 is an abundant number, since it is smaller than the sum of its proper divisors (1184526540).

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

525283380 is a wasteful number, since it uses less digits than its factorization.

525283380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 525283380 is about 22919.0614991103. The cubic root of 525283380 is about 806.8594440189.

The spelling of 525283380 in words is "five hundred twenty-five million, two hundred eighty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 243 261 270 290 324 348 405 435 486 522 540 580 783 810 870 972 1044 1215 1305 1566 1620 1740 2349 2430 2610 3132 3727 3915 4698 4860 5220 7047 7454 7830 9396 11181 11745 14094 14908 15660 18635 22362 23490 28188 33543 35235 37270 44724 46980 55905 67086 70470 74540 100629 108083 111810 134172 140940 167715 201258 216166 223620 301887 324249 335430 402516 432332 503145 540415 603774 648498 670860 905661 972747 1006290 1080830 1207548 1296996 1509435 1621245 1811322 1945494 2012580 2161660 2918241 3018870 3242490 3622644 3890988 4528305 4863735 5836482 6037740 6484980 8754723 9056610 9727470 11672964 14591205 17509446 18113220 19454940 26264169 29182410 35018892 43773615 52528338 58364820 87547230 105056676 131320845 175094460 262641690 525283380