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521540008 = 231121741773
BaseRepresentation
bin11111000101100…
…001000110101000
31100100100222101121
4133011201012220
52032003240013
6123430225024
715632005543
oct3705410650
91310328347
10521540008
11248439800
121267b5174
1384087472
144d3a185a
1530bc058d
hex1f1611a8

521540008 has 96 divisors (see below), whose sum is σ = 1167362280. Its totient is φ = 217395200.

The previous prime is 521540003. The next prime is 521540023. The reversal of 521540008 is 800045125.

It can be written as a sum of positive squares in 4 ways, for example, as 257217444 + 264322564 = 16038^2 + 16258^2 .

It is not an unprimeable number, because it can be changed into a prime (521540003) 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 23 ways as a sum of consecutive naturals, for example, 674310 + ... + 675082.

Almost surely, 2521540008 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 521540008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583681140).

521540008 is an abundant number, since it is smaller than the sum of its proper divisors (645822272).

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

521540008 is a wasteful number, since it uses less digits than its factorization.

521540008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 521540008 is about 22837.2504474597. The cubic root of 521540008 is about 804.9382090606.

The spelling of 521540008 in words is "five hundred twenty-one million, five hundred forty thousand, eight".

Divisors: 1 2 4 8 11 17 22 34 41 44 68 82 88 121 136 164 187 242 328 374 451 484 697 748 773 902 968 1394 1496 1546 1804 2057 2788 3092 3608 4114 4961 5576 6184 7667 8228 8503 9922 13141 15334 16456 17006 19844 26282 30668 31693 34012 39688 52564 61336 63386 68024 84337 93533 105128 126772 144551 168674 187066 253544 289102 337348 348623 374132 538781 578204 674696 697246 748264 1077562 1156408 1394492 1590061 2155124 2788984 3180122 3834853 4310248 5926591 6360244 7669706 11853182 12720488 15339412 23706364 30678824 47412728 65192501 130385002 260770004 521540008