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529420080 = 24357793989
BaseRepresentation
bin11111100011100…
…100111100110000
31100220012022211010
4133203210330300
52041012420310
6124311150520
716055665530
oct3743447460
91326168733
10529420080
11251931162
12129375440
13858b6127
14504534c0
153172a320
hex1f8e4f30

529420080 has 160 divisors (see below), whose sum is σ = 1899878400. Its totient is φ = 119448576.

The previous prime is 529420061. The next prime is 529420081. The reversal of 529420080 is 80024925.

It is a super-2 number, since 2×5294200802 = 560571242214412800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (529420081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130726 + ... + 134714.

It is an arithmetic number, because the mean of its divisors is an integer number (11874240).

Almost surely, 2529420080 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 529420080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949939200).

529420080 is an abundant number, since it is smaller than the sum of its proper divisors (1370458320).

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

529420080 is a wasteful number, since it uses less digits than its factorization.

529420080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4091 (or 4085 counting only the distinct ones).

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

The square root of 529420080 is about 23009.1303616630. The cubic root of 529420080 is about 808.9719620545.

The spelling of 529420080 in words is "five hundred twenty-nine million, four hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 79 80 84 105 112 120 140 158 168 210 237 240 280 316 336 395 420 474 553 560 632 790 840 948 1106 1185 1264 1580 1659 1680 1896 2212 2370 2765 3160 3318 3792 3989 4424 4740 5530 6320 6636 7978 8295 8848 9480 11060 11967 13272 15956 16590 18960 19945 22120 23934 26544 27923 31912 33180 39890 44240 47868 55846 59835 63824 66360 79780 83769 95736 111692 119670 132720 139615 159560 167538 191472 223384 239340 279230 315131 319120 335076 418845 446768 478680 558460 630262 670152 837690 945393 957360 1116920 1260524 1340304 1575655 1675380 1890786 2205917 2233840 2521048 3151310 3350760 3781572 4411834 4726965 5042096 6302620 6617751 6701520 7563144 8823668 9453930 11029585 12605240 13235502 15126288 17647336 18907860 22059170 25210480 26471004 33088755 35294672 37815720 44118340 52942008 66177510 75631440 88236680 105884016 132355020 176473360 264710040 529420080