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42505320 = 233511132477
BaseRepresentation
bin1010001000100…
…1010001101000
32221222111100010
42202021101220
541340132240
64115011520
71024201134
oct242112150
987874303
1042505320
1121aa1970
1212299ba0
138a62ca0
1459063c4
153ae9280
hex2889468

42505320 has 128 divisors (see below), whose sum is σ = 149869440. Its totient is φ = 9507840.

The previous prime is 42505277. The next prime is 42505327. The reversal of 42505320 is 2350524.

It is not an unprimeable number, because it can be changed into a prime (42505327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15922 + ... + 18398.

It is an arithmetic number, because the mean of its divisors is an integer number (1170855).

Almost surely, 242505320 is an apocalyptic number.

42505320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42505320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74934720).

42505320 is an abundant number, since it is smaller than the sum of its proper divisors (107364120).

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

42505320 is a wasteful number, since it uses less digits than its factorization.

42505320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 42505320 is about 6519.6104178087. The cubic root of 42505320 is about 348.9911629577.

Adding to 42505320 its reverse (2350524), we get a palindrome (44855844).

The spelling of 42505320 in words is "forty-two million, five hundred five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2477 2860 3432 4290 4954 5720 7431 8580 9908 12385 14862 17160 19816 24770 27247 29724 32201 37155 49540 54494 59448 64402 74310 81741 96603 99080 108988 128804 136235 148620 161005 163482 193206 217976 257608 272470 297240 322010 326964 354211 386412 408705 483015 544940 644020 653928 708422 772824 817410 966030 1062633 1089880 1288040 1416844 1634820 1771055 1932060 2125266 2833688 3269640 3542110 3864120 4250532 5313165 7084220 8501064 10626330 14168440 21252660 42505320