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642683300 = 2252717531019
BaseRepresentation
bin100110010011101…
…001000110100100
31122210022200202012
4212103221012210
52304011331200
6143434533352
721632501150
oct4623510644
91583280665
10642683300
112aa861526
1215b297258
13a31c189c
14614d8060
153b64ea35
hex264e91a4

642683300 has 144 divisors (see below), whose sum is σ = 1721139840. Its totient is φ = 203274240.

The previous prime is 642683287. The next prime is 642683309. The reversal of 642683300 is 3386246.

It is not an unprimeable number, because it can be changed into a prime (642683309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 630191 + ... + 631209.

It is an arithmetic number, because the mean of its divisors is an integer number (11952360).

Almost surely, 2642683300 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 642683300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860569920).

642683300 is an abundant number, since it is smaller than the sum of its proper divisors (1078456540).

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

642683300 is a wasteful number, since it uses less digits than its factorization.

642683300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 642683300 is about 25351.1991826817. The cubic root of 642683300 is about 862.9765706229.

The spelling of 642683300 in words is "six hundred forty-two million, six hundred eighty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 53 68 70 85 100 106 119 140 170 175 212 238 265 340 350 371 425 476 530 595 700 742 850 901 1019 1060 1190 1325 1484 1700 1802 1855 2038 2380 2650 2975 3604 3710 4076 4505 5095 5300 5950 6307 7133 7420 9010 9275 10190 11900 12614 14266 17323 18020 18550 20380 22525 25228 25475 28532 31535 34646 35665 37100 45050 50950 54007 63070 69292 71330 86615 90100 101900 108014 121261 126140 142660 157675 173230 178325 216028 242522 270035 315350 346460 356650 378049 433075 485044 540070 606305 630700 713300 756098 866150 918119 1080140 1212610 1350175 1512196 1732300 1836238 1890245 2425220 2700350 3031525 3672476 3780490 4590595 5400700 6063050 6426833 7560980 9181190 9451225 12126100 12853666 18362380 18902450 22952975 25707332 32134165 37804900 45905950 64268330 91811900 128536660 160670825 321341650 642683300