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530002752 = 263101151181
BaseRepresentation
bin11111100101110…
…011001101000000
31100221021221002120
4133211303031000
52041140042002
6124331444240
716063643346
oct3745631500
91327257076
10530002752
11252199a04
121295b6680
1385a5b3c6
1450565996
15317e2cbc
hex1f973340

530002752 has 112 divisors (see below), whose sum is σ = 1433437824. Its totient is φ = 172800000.

The previous prime is 530002751. The next prime is 530002757. The reversal of 530002752 is 257200035.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530002751) 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, 2928102 + ... + 2928282.

It is an arithmetic number, because the mean of its divisors is an integer number (12798552).

Almost surely, 2530002752 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 530002752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716718912).

530002752 is an abundant number, since it is smaller than the sum of its proper divisors (903435072).

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

530002752 is a wasteful number, since it uses less digits than its factorization.

530002752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 530002752 is about 23021.7886359857. The cubic root of 530002752 is about 809.2686341482.

Adding to 530002752 its reverse (257200035), we get a palindrome (787202787).

The spelling of 530002752 in words is "five hundred thirty million, two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 151 181 192 202 302 303 362 404 453 543 604 606 724 808 906 1086 1208 1212 1448 1616 1812 2172 2416 2424 2896 3232 3624 4344 4832 4848 5792 6464 7248 8688 9664 9696 11584 14496 15251 17376 18281 19392 27331 28992 30502 34752 36562 45753 54662 54843 61004 73124 81993 91506 109324 109686 122008 146248 163986 183012 218648 219372 244016 292496 327972 366024 437296 438744 488032 584992 655944 732048 874592 877488 976064 1169984 1311888 1464096 1749184 1754976 2623776 2760431 2928192 3509952 5247552 5520862 8281293 11041724 16562586 22083448 33125172 44166896 66250344 88333792 132500688 176667584 265001376 530002752