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520478352 = 24336119751
BaseRepresentation
bin11111000001011…
…101111010010000
31100021101001002000
4133001131322100
52031220301402
6123351354000
715616664412
oct3701357220
91307331060
10520478352
112478840a9
12126382900
1383aa5174
144d1a69b2
1530a60c1c
hex1f05de90

520478352 has 80 divisors (see below), whose sum is σ = 1518533760. Its totient is φ = 170640000.

The previous prime is 520478303. The next prime is 520478363. The reversal of 520478352 is 253874025.

520478352 is a `hidden beast` number, since 520 + 4 + 7 + 83 + 52 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16477 + ... + 36227.

It is an arithmetic number, because the mean of its divisors is an integer number (18981672).

Almost surely, 2520478352 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 520478352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759266880).

520478352 is an abundant number, since it is smaller than the sum of its proper divisors (998055408).

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

520478352 is a wasteful number, since it uses less digits than its factorization.

520478352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19829 (or 19817 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 520478352 is about 22813.9946524058. The cubic root of 520478352 is about 804.3916559165.

The spelling of 520478352 in words is "five hundred twenty million, four hundred seventy-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 432 488 549 732 976 1098 1464 1647 2196 2928 3294 4392 6588 8784 13176 19751 26352 39502 59253 79004 118506 158008 177759 237012 316016 355518 474024 533277 711036 948048 1066554 1204811 1422072 2133108 2409622 2844144 3614433 4266216 4819244 7228866 8532432 9638488 10843299 14457732 19276976 21686598 28915464 32529897 43373196 57830928 65059794 86746392 130119588 173492784 260239176 520478352