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530755008 = 26371093623
BaseRepresentation
bin11111101000101…
…010110111000000
31100222201010222220
4133220222313000
52041333130013
6124355531040
716103225460
oct3750526700
91328633886
10530755008
11252663103
121298b9a80
1385c62924
14506bdba0
15318e0b23
hex1fa2adc0

530755008 has 112 divisors (see below), whose sum is σ = 1620072960. Its totient is φ = 150211584.

The previous prime is 530755007. The next prime is 530755019. The reversal of 530755008 is 800557035.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 530755008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530755007) 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, 144685 + ... + 148307.

Almost surely, 2530755008 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 530755008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810036480).

530755008 is an abundant number, since it is smaller than the sum of its proper divisors (1089317952).

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

530755008 is a wasteful number, since it uses less digits than its factorization.

530755008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 530755008 is about 23038.1207566937. The cubic root of 530755008 is about 809.6513298914.

The spelling of 530755008 in words is "five hundred thirty million, seven hundred fifty-five thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 109 112 168 192 218 224 327 336 436 448 654 672 763 872 1308 1344 1526 1744 2289 2616 3052 3488 3623 4578 5232 6104 6976 7246 9156 10464 10869 12208 14492 18312 20928 21738 24416 25361 28984 36624 43476 48832 50722 57968 73248 76083 86952 101444 115936 146496 152166 173904 202888 231872 304332 347808 394907 405776 608664 695616 789814 811552 1184721 1217328 1579628 1623104 2369442 2434656 2764349 3159256 4738884 4869312 5528698 6318512 8293047 9477768 11057396 12637024 16586094 18955536 22114792 25274048 33172188 37911072 44229584 66344376 75822144 88459168 132688752 176918336 265377504 530755008