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63242000 = 2453103307
BaseRepresentation
bin1111000100111…
…1111100010000
311102000000201022
43301033330100
5112142221000
610135255012
71365356003
oct361177420
9142000638
1063242000
1132775718
121921a468
1310143803
14858353a
155843585
hex3c4ff10

63242000 has 80 divisors (see below), whose sum is σ = 154906752. Its totient is φ = 24969600.

The previous prime is 63241993. The next prime is 63242009. The reversal of 63242000 is 24236.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 63242000.

It is not an unprimeable number, because it can be changed into a prime (63242009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205847 + ... + 206153.

Almost surely, 263242000 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 63242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77453376).

63242000 is an abundant number, since it is smaller than the sum of its proper divisors (91664752).

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

63242000 is a wasteful number, since it uses less digits than its factorization.

63242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 63242000 is about 7952.4838886979. The cubic root of 63242000 is about 398.4145575666.

Adding to 63242000 its reverse (24236), we get a palindrome (63266236).

The spelling of 63242000 in words is "sixty-three million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 103 125 200 206 250 307 400 412 500 515 614 824 1000 1030 1228 1535 1648 2000 2060 2456 2575 3070 4120 4912 5150 6140 7675 8240 10300 12280 12875 15350 20600 24560 25750 30700 31621 38375 41200 51500 61400 63242 76750 103000 122800 126484 153500 158105 206000 252968 307000 316210 505936 614000 632420 790525 1264840 1581050 2529680 3162100 3952625 6324200 7905250 12648400 15810500 31621000 63242000