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520433536 = 2772920029
BaseRepresentation
bin11111000001010…
…010111110000000
31100021021202121011
4133001102332000
52031212333121
6123350410304
715616416640
oct3701227600
91307252534
10520433536
11247853467
12126360994
1383a8a94c
144d194520
1530a527e1
hex1f052f80

520433536 has 64 divisors (see below), whose sum is σ = 1225836000. Its totient is φ = 215341056.

The previous prime is 520433533. The next prime is 520433561. The reversal of 520433536 is 635334025.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 520433498 and 520433507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520433531) 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, 15970 + ... + 35998.

Almost surely, 2520433536 is an apocalyptic number.

520433536 is a gapful number since it is divisible by the number (56) 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 520433536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612918000).

520433536 is an abundant number, since it is smaller than the sum of its proper divisors (705402464).

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

520433536 is a wasteful number, since it uses less digits than its factorization.

520433536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20079 (or 20067 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 31.

The square root of 520433536 is about 22813.0124271215. The cubic root of 520433536 is about 804.3685677637.

The spelling of 520433536 in words is "five hundred twenty million, four hundred thirty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 812 896 928 1624 1856 3248 3712 6496 12992 20029 25984 40058 80116 140203 160232 280406 320464 560812 580841 640928 1121624 1161682 1281856 2243248 2323364 2563712 4065887 4486496 4646728 8131774 8972992 9293456 16263548 17945984 18586912 32527096 37173824 65054192 74347648 130108384 260216768 520433536