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42739650 = 2345261173
BaseRepresentation
bin1010001100001…
…0011111000010
32222102101210000
42203002133002
541420132100
64124020430
71026165252
oct243023702
988371700
1042739650
1122141a28
1212391716
138b15845
145967962
153b43900
hex28c27c2

42739650 has 120 divisors (see below), whose sum is σ = 121397364. Its totient is φ = 11145600.

The previous prime is 42739633. The next prime is 42739693. The reversal of 42739650 is 5693724.

It can be written as a sum of positive squares in 6 ways, for example, as 12895281 + 29844369 = 3591^2 + 5463^2 .

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 59 ways as a sum of consecutive naturals, for example, 246964 + ... + 247136.

Almost surely, 242739650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42739650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60698682).

42739650 is an abundant number, since it is smaller than the sum of its proper divisors (78657714).

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

42739650 is a wasteful number, since it uses less digits than its factorization.

42739650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 42739650 is about 6537.5568831177. The cubic root of 42739650 is about 349.6313124437.

The spelling of 42739650 in words is "forty-two million, seven hundred thirty-nine thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 61 75 81 90 122 135 150 162 173 183 225 270 305 346 366 405 450 519 549 610 675 810 865 915 1038 1098 1350 1525 1557 1647 1730 1830 2025 2595 2745 3050 3114 3294 4050 4325 4575 4671 4941 5190 5490 7785 8235 8650 9150 9342 9882 10553 12975 13725 14013 15570 16470 21106 23355 24705 25950 27450 28026 31659 38925 41175 46710 49410 52765 63318 70065 77850 82350 94977 105530 116775 123525 140130 158295 189954 233550 247050 263825 284931 316590 350325 474885 527650 569862 700650 791475 854793 949770 1424655 1582950 1709586 2374425 2849310 4273965 4748850 7123275 8547930 14246550 21369825 42739650