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42832650 = 23527192113
BaseRepresentation
bin1010001101100…
…1001100001010
32222121010100110
42203121030022
541431121100
64130015150
71030033350
oct243311412
988533313
1042832650
11221a5893
12124174b6
138b48c83
14598d7d0
153b61250
hex28d930a

42832650 has 144 divisors (see below), whose sum is σ = 129259584. Its totient is φ = 9192960.

The previous prime is 42832637. The next prime is 42832697. The reversal of 42832650 is 5623824.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 378994 + ... + 379106.

It is an arithmetic number, because the mean of its divisors is an integer number (897636).

Almost surely, 242832650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42832650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64629792).

42832650 is an abundant number, since it is smaller than the sum of its proper divisors (86426934).

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

42832650 is a wasteful number, since it uses less digits than its factorization.

42832650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 42832650 is about 6544.6657668669. The cubic root of 42832650 is about 349.8847239416.

The spelling of 42832650 in words is "forty-two million, eight hundred thirty-two thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 25 30 35 38 42 50 57 70 75 95 105 113 114 133 150 175 190 210 226 266 285 339 350 361 399 475 525 565 570 665 678 722 791 798 950 1050 1083 1130 1330 1425 1582 1695 1805 1995 2147 2166 2373 2527 2825 2850 3325 3390 3610 3955 3990 4294 4746 5054 5415 5650 6441 6650 7581 7910 8475 9025 9975 10735 10830 11865 12635 12882 15029 15162 16950 18050 19775 19950 21470 23730 25270 27075 30058 32205 37905 39550 40793 45087 53675 54150 59325 63175 64410 75145 75810 81586 90174 107350 118650 122379 126350 150290 161025 189525 203965 225435 244758 285551 322050 375725 379050 407930 450870 571102 611895 751450 856653 1019825 1127175 1223790 1427755 1713306 2039650 2254350 2855510 3059475 4283265 6118950 7138775 8566530 14277550 21416325 42832650