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642226536 = 23337260679
BaseRepresentation
bin100110010001111…
…001100101101000
31122202110111012000
4212101321211220
52303402222121
6143421051000
721625556400
oct4621714550
91582414160
10642226536
112aa57a336
1215b0b6a60
13a3091a03
1461419800
153b5ae526
hex26479968

642226536 has 96 divisors (see below), whose sum is σ = 2075256000. Its totient is φ = 183490272.

The previous prime is 642226513. The next prime is 642226537. The reversal of 642226536 is 635622246.

642226536 is a `hidden beast` number, since 642 + 2 + 2 + 6 + 5 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 642226536.

It is not an unprimeable number, because it can be changed into a prime (642226537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19756 + ... + 40923.

It is an arithmetic number, because the mean of its divisors is an integer number (21617250).

Almost surely, 2642226536 is an apocalyptic number.

It is an amenable number.

642226536 is an abundant number, since it is smaller than the sum of its proper divisors (1433029464).

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

642226536 is a wasteful number, since it uses less digits than its factorization.

642226536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60708 (or 60691 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 642226536 is about 25342.1888557401. The cubic root of 642226536 is about 862.7720790019.

The spelling of 642226536 in words is "six hundred forty-two million, two hundred twenty-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 10584 60679 121358 182037 242716 364074 424753 485432 546111 728148 849506 1092222 1274259 1456296 1638333 1699012 2184444 2548518 2973271 3276666 3398024 3822777 4368888 5097036 5946542 6553332 7645554 8919813 10194072 11468331 11893084 13106664 15291108 17839626 22936662 23786168 26759439 30582216 35679252 45873324 53518878 71358504 80278317 91746648 107037756 160556634 214075512 321113268 642226536