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530318208 = 2737832377
BaseRepresentation
bin11111100111000…
…000001110000000
31100221212221211010
4133213000032000
52041230140313
6124342320520
716066426140
oct3747001600
91327787733
10530318208
11252394a12
12129729140
1385b3bb74
1450608920
15318564c3
hex1f9c0380

530318208 has 128 divisors (see below), whose sum is σ = 1629976320. Its totient is φ = 149630976.

The previous prime is 530318189. The next prime is 530318219. The reversal of 530318208 is 802813035.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 2.

It is a congruent number.

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, 221916 + ... + 224292.

It is an arithmetic number, because the mean of its divisors is an integer number (12734190).

Almost surely, 2530318208 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 530318208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814988160).

530318208 is an abundant number, since it is smaller than the sum of its proper divisors (1099658112).

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

530318208 is a wasteful number, since it uses less digits than its factorization.

530318208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 530318208 is about 23028.6388655517. The cubic root of 530318208 is about 809.4291603675.

The spelling of 530318208 in words is "five hundred thirty million, three hundred eighteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 83 84 96 112 128 166 168 192 224 249 332 336 384 448 498 581 664 672 896 996 1162 1328 1344 1743 1992 2324 2377 2656 2688 3486 3984 4648 4754 5312 6972 7131 7968 9296 9508 10624 13944 14262 15936 16639 18592 19016 27888 28524 31872 33278 37184 38032 49917 55776 57048 66556 74368 76064 99834 111552 114096 133112 152128 197291 199668 223104 228192 266224 304256 394582 399336 456384 532448 591873 789164 798672 912768 1064896 1183746 1381037 1578328 1597344 2129792 2367492 2762074 3156656 3194688 4143111 4734984 5524148 6313312 6389376 8286222 9469968 11048296 12626624 16572444 18939936 22096592 25253248 33144888 37879872 44193184 66289776 75759744 88386368 132579552 176772736 265159104 530318208