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531006216 = 233131819403
BaseRepresentation
bin11111101001101…
…000001100001000
31101000011220120220
4133221220030020
52041414144331
6124405150040
716105323036
oct3751501410
91330156526
10531006216
11252814914
121299bb320
1386020080
1450747556
1531940296
hex1fa68308

531006216 has 64 divisors (see below), whose sum is σ = 1437683520. Its totient is φ = 162466560.

The previous prime is 531006209. The next prime is 531006239. The reversal of 531006216 is 612600135.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 51771 + ... + 61173.

It is an arithmetic number, because the mean of its divisors is an integer number (22463805).

Almost surely, 2531006216 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 531006216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718841760).

531006216 is an abundant number, since it is smaller than the sum of its proper divisors (906677304).

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

531006216 is a wasteful number, since it uses less digits than its factorization.

531006216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9606 (or 9602 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 531006216 is about 23043.5721189229. The cubic root of 531006216 is about 809.7790465768.

The spelling of 531006216 in words is "five hundred thirty-one million, six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 181 312 362 543 724 1086 1448 2172 2353 4344 4706 7059 9403 9412 14118 18806 18824 28209 28236 37612 56418 56472 75224 112836 122239 225672 244478 366717 488956 733434 977912 1466868 1701943 2933736 3403886 5105829 6807772 10211658 13615544 20423316 22125259 40846632 44250518 66375777 88501036 132751554 177002072 265503108 531006216