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42650010 = 23351329419
BaseRepresentation
bin1010001010110…
…0100110011010
32222020211211000
42202230212122
541404300020
64122045430
71025343024
oct242544632
988224730
1042650010
1122090647
1212349876
138ab3ac0
145943014
153b27090
hex28ac99a

42650010 has 128 divisors (see below), whose sum is σ = 127008000. Its totient is φ = 10112256.

The previous prime is 42649993. The next prime is 42650021. The reversal of 42650010 is 1005624.

It is a happy number.

42650010 is a `hidden beast` number, since 4 + 2 + 650 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101581 + ... + 101999.

It is an arithmetic number, because the mean of its divisors is an integer number (992250).

Almost surely, 242650010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42650010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504000).

42650010 is an abundant number, since it is smaller than the sum of its proper divisors (84357990).

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

42650010 is a wasteful number, since it uses less digits than its factorization.

42650010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 42650010 is about 6530.6975125173. The cubic root of 42650010 is about 349.3867082928.

Adding to 42650010 its reverse (1005624), we get a palindrome (43655634).

The spelling of 42650010 in words is "forty-two million, six hundred fifty thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 29 30 39 45 54 58 65 78 87 90 117 130 135 145 174 195 234 261 270 290 351 377 390 419 435 522 585 702 754 783 838 870 1131 1170 1257 1305 1566 1755 1885 2095 2262 2514 2610 3393 3510 3770 3771 3915 4190 5447 5655 6285 6786 7542 7830 10179 10894 11310 11313 12151 12570 16341 16965 18855 20358 22626 24302 27235 32682 33930 36453 37710 49023 50895 54470 56565 60755 72906 81705 98046 101790 109359 113130 121510 147069 157963 163410 182265 218718 245115 294138 315926 328077 364530 473889 490230 546795 656154 735345 789815 947778 1093590 1421667 1470690 1579630 1640385 2369445 2843334 3280770 4265001 4738890 7108335 8530002 14216670 21325005 42650010