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525445120 = 211523297
BaseRepresentation
bin11111010100011…
…010100000000000
31100121201101012101
4133110122200000
52034003220440
6124050040144
716010131654
oct3724324000
91317641171
10525445120
1124a666772
12127b79054
1384b23a95
144dadaa64
15311e269a
hex1f51a800

525445120 has 144 divisors (see below), whose sum is σ = 1331546580. Its totient is φ = 198967296.

The previous prime is 525445117. The next prime is 525445121. The reversal of 525445120 is 21544525.

It can be written as a sum of positive squares in 2 ways, for example, as 520569856 + 4875264 = 22816^2 + 2208^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (525445121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5416912 + ... + 5417008.

Almost surely, 2525445120 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 525445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665773290).

525445120 is an abundant number, since it is smaller than the sum of its proper divisors (806101460).

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

525445120 is an equidigital number, since it uses as much as digits as its factorization.

525445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 525445120 is about 22922.5897315290. The cubic root of 525445120 is about 806.9422488816.

Adding to 525445120 its reverse (21544525), we get a palindrome (546989645).

The spelling of 525445120 in words is "five hundred twenty-five million, four hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 97 115 128 160 184 194 230 256 320 368 388 460 485 512 529 640 736 776 920 970 1024 1058 1280 1472 1552 1840 1940 2048 2116 2231 2560 2645 2944 3104 3680 3880 4232 4462 5120 5290 5888 6208 7360 7760 8464 8924 10240 10580 11155 11776 12416 14720 15520 16928 17848 21160 22310 23552 24832 29440 31040 33856 35696 42320 44620 47104 49664 51313 58880 62080 67712 71392 84640 89240 99328 102626 117760 124160 135424 142784 169280 178480 198656 205252 235520 248320 256565 270848 285568 338560 356960 410504 496640 513130 541696 571136 677120 713920 821008 993280 1026260 1083392 1142272 1354240 1427840 1642016 2052520 2284544 2708480 2855680 3284032 4105040 4569088 5416960 5711360 6568064 8210080 11422720 13136128 16420160 22845440 26272256 32840320 52544512 65680640 105089024 131361280 262722560 525445120