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525812480 = 2852771483
BaseRepresentation
bin11111010101110…
…100001100000000
31100122102001010022
4133111310030000
52034101444410
6124101553012
716013221664
oct3725641400
91318361108
10525812480
1124a897776
12128115768
1384c2205b
144db948a4
1531266455
hex1f574300

525812480 has 72 divisors (see below), whose sum is σ = 1264884432. Its totient is φ = 209424384.

The previous prime is 525812473. The next prime is 525812489. The reversal of 525812480 is 84218525.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 525812480.

It is not an unprimeable number, because it can be changed into a prime (525812489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 353819 + ... + 355301.

Almost surely, 2525812480 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 525812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632442216).

525812480 is an abundant number, since it is smaller than the sum of its proper divisors (739071952).

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

525812480 is a wasteful number, since it uses less digits than its factorization.

525812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

The square root of 525812480 is about 22930.6013876653. The cubic root of 525812480 is about 807.1302604272.

The spelling of 525812480 in words is "five hundred twenty-five million, eight hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 277 320 554 640 1108 1280 1385 1483 2216 2770 2966 4432 5540 5932 7415 8864 11080 11864 14830 17728 22160 23728 29660 35456 44320 47456 59320 70912 88640 94912 118640 177280 189824 237280 354560 379648 410791 474560 821582 949120 1643164 1898240 2053955 3286328 4107910 6572656 8215820 13145312 16431640 26290624 32863280 52581248 65726560 105162496 131453120 262906240 525812480