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526434030 = 2325103109521
BaseRepresentation
bin11111011000001…
…011111011101110
31100200120121201200
4133120023323232
52034231342110
6124123150330
716021421043
oct3730137356
91320517650
10526434030
11250181751
121283753a6
13850abc35
144dcb71ca
153133a6c0
hex1f60beee

526434030 has 96 divisors (see below), whose sum is σ = 1397373120. Its totient is φ = 137479680.

The previous prime is 526434023. The next prime is 526434037. The reversal of 526434030 is 30434625.

It is an interprime number because it is at equal distance from previous prime (526434023) and next prime (526434037).

It is a junction number, because it is equal to n+sod(n) for n = 526433985 and 526434003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526434037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1010170 + ... + 1010690.

It is an arithmetic number, because the mean of its divisors is an integer number (14555970).

Almost surely, 2526434030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526434030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698686560).

526434030 is an abundant number, since it is smaller than the sum of its proper divisors (870939090).

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

526434030 is a wasteful number, since it uses less digits than its factorization.

526434030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 526434030 is about 22944.1502348638. The cubic root of 526434030 is about 807.4481648074.

Adding to 526434030 its reverse (30434625), we get a palindrome (556868655).

The spelling of 526434030 in words is "five hundred twenty-six million, four hundred thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 109 206 218 309 327 515 521 545 618 654 927 981 1030 1042 1090 1545 1563 1635 1854 1962 2605 3090 3126 3270 4635 4689 4905 5210 7815 9270 9378 9810 11227 15630 22454 23445 33681 46890 53663 56135 56789 67362 101043 107326 112270 113578 160989 168405 170367 202086 268315 283945 321978 336810 340734 482967 505215 511101 536630 567890 804945 851835 965934 1010430 1022202 1609890 1703670 2414835 2555505 4829670 5111010 5849267 11698534 17547801 29246335 35095602 52643403 58492670 87739005 105286806 175478010 263217015 526434030