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39742430 = 25721317367
BaseRepresentation
bin1001011110011…
…0101111011110
32202210010100212
42113212233132
540133224210
63535452422
7661543100
oct227465736
982703325
1039742430
1120485092
1211387112
138306540
1453c7570
153750805
hex25e6bde

39742430 has 96 divisors (see below), whose sum is σ = 95147136. Its totient is φ = 11805696.

The previous prime is 39742399. The next prime is 39742453. The reversal of 39742430 is 3424793.

39742430 = 1582 + 1592 + ... + 4972.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108107 + ... + 108473.

It is an arithmetic number, because the mean of its divisors is an integer number (991116).

Almost surely, 239742430 is an apocalyptic number.

39742430 is an abundant number, since it is smaller than the sum of its proper divisors (55404706).

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

39742430 is a wasteful number, since it uses less digits than its factorization.

39742430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 39742430 is about 6304.1597378239. The cubic root of 39742430 is about 341.2595438926.

The spelling of 39742430 in words is "thirty-nine million, seven hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 5 7 10 13 14 17 26 34 35 49 65 70 85 91 98 119 130 170 182 221 238 245 367 442 455 490 595 637 734 833 910 1105 1190 1274 1547 1666 1835 2210 2569 3094 3185 3670 4165 4771 5138 6239 6370 7735 8330 9542 10829 12478 12845 15470 17983 21658 23855 25690 31195 33397 35966 43673 47710 54145 62390 66794 81107 87346 89915 108290 162214 166985 179830 218365 233779 305711 333970 405535 436730 467558 567749 611422 811070 1135498 1168895 1528555 2337790 2838745 3057110 3974243 5677490 7948486 19871215 39742430