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4528734720 = 29351734687
BaseRepresentation
bin1000011011110111…
…10000001000000000
3102200121121120010120
410031323300020000
533233324002340
62025214300240
7220140416136
oct41573601000
912617546116
104528734720
111a14397474
12a647b7680
135723278b3
1430d669756
151b78b74d0
hex10def0200

4528734720 has 160 divisors (see below), whose sum is σ = 15329875968. Its totient is φ = 1136590848.

The previous prime is 4528734667. The next prime is 4528734761. The reversal of 4528734720 is 274378254.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×45287347203 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113217 + ... + 147903.

Almost surely, 24528734720 is an apocalyptic number.

4528734720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4528734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7664937984).

4528734720 is an abundant number, since it is smaller than the sum of its proper divisors (10801141248).

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

4528734720 is a wasteful number, since it uses less digits than its factorization.

4528734720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34730 (or 34714 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 4528734720 is about 67295.8744649328. The cubic root of 4528734720 is about 1654.4702435796.

The spelling of 4528734720 in words is "four billion, five hundred twenty-eight million, seven hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 512 544 640 680 768 816 960 1020 1088 1280 1360 1536 1632 1920 2040 2176 2560 2720 3264 3840 4080 4352 5440 6528 7680 8160 8704 10880 13056 16320 21760 26112 32640 34687 43520 65280 69374 104061 130560 138748 173435 208122 277496 346870 416244 520305 554992 589679 693740 832488 1040610 1109984 1179358 1387480 1664976 1769037 2081220 2219968 2358716 2774960 2948395 3329952 3538074 4162440 4439936 4717432 5549920 5896790 6659904 7076148 8324880 8845185 8879872 9434864 11099840 11793580 13319808 14152296 16649760 17690370 17759744 18869728 22199680 23587160 26639616 28304592 33299520 35380740 37739456 44399360 47174320 53279232 56609184 66599040 70761480 75478912 88798720 94348640 113218368 133198080 141522960 150957824 188697280 226436736 266396160 283045920 301915648 377394560 452873472 566091840 754789120 905746944 1132183680 1509578240 2264367360 4528734720