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530059248 = 24338314783
BaseRepresentation
bin11111100110000…
…000111111110000
31100221101210121000
4133212000333300
52041143343443
6124333002000
716064300145
oct3746007760
91327353530
10530059248
112522283a4
12129623300
1385a7b034
145057c3cc
15318048d3
hex1f980ff0

530059248 has 80 divisors (see below), whose sum is σ = 1539901440. Its totient is φ = 174545856.

The previous prime is 530059223. The next prime is 530059249. The reversal of 530059248 is 842950035.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530059249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28465 + ... + 43247.

It is an arithmetic number, because the mean of its divisors is an integer number (19248768).

Almost surely, 2530059248 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 530059248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769950720).

530059248 is an abundant number, since it is smaller than the sum of its proper divisors (1009842192).

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

530059248 is a wasteful number, since it uses less digits than its factorization.

530059248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14883 (or 14871 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 530059248 is about 23023.0156148147. The cubic root of 530059248 is about 809.2973879714.

The spelling of 530059248 in words is "five hundred thirty million, fifty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 144 166 216 249 332 432 498 664 747 996 1328 1494 1992 2241 2988 3984 4482 5976 8964 11952 14783 17928 29566 35856 44349 59132 88698 118264 133047 177396 236528 266094 354792 399141 532188 709584 798282 1064376 1226989 1596564 2128752 2453978 3193128 3680967 4907956 6386256 7361934 9815912 11042901 14723868 19631824 22085802 29447736 33128703 44171604 58895472 66257406 88343208 132514812 176686416 265029624 530059248