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528742080 = 2634520399
BaseRepresentation
bin11111100000111…
…111011011000000
31100211220212210000
4133200333123000
52040324221310
6124244440000
716050143046
oct3740773300
91324825700
10528742080
11251508829
121290a9000
1385709649
1450318396
15316444c0
hex1f83f6c0

528742080 has 140 divisors (see below), whose sum is σ = 1880920800. Its totient is φ = 140990976.

The previous prime is 528742079. The next prime is 528742103. The reversal of 528742080 is 80247825.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15721 + ... + 36119.

Almost surely, 2528742080 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 528742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940460400).

528742080 is an abundant number, since it is smaller than the sum of its proper divisors (1352178720).

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

528742080 is a wasteful number, since it uses less digits than its factorization.

528742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20428 (or 20409 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 528742080 is about 22994.3923598777. The cubic root of 528742080 is about 808.6264788139.

The spelling of 528742080 in words is "five hundred twenty-eight million, seven hundred forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 20399 25920 40798 61197 81596 101995 122394 163192 183591 203990 244788 305985 326384 367182 407980 489576 550773 611970 652768 734364 815960 917955 979152 1101546 1223940 1305536 1468728 1631920 1652319 1835910 1958304 2203092 2447880 2753865 2937456 3263840 3304638 3671820 3916608 4406184 4895760 5507730 5874912 6527680 6609276 7343640 8261595 8812368 9791520 11015460 11749824 13218552 14687280 16523190 17624736 19583040 22030920 26437104 29374560 33046380 35249472 44061840 52874208 58749120 66092760 88123680 105748416 132185520 176247360 264371040 528742080