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42749070 = 23572132237
BaseRepresentation
bin1010001100010…
…0110010001110
32222102212200220
42203010302032
541420432240
64124132210
71026234600
oct243046216
988385626
1042749070
1122149011
1212397066
138b19c10
14596b170
153b465d0
hex28c4c8e

42749070 has 96 divisors (see below), whose sum is σ = 128586528. Its totient is φ = 9015552.

The previous prime is 42749051. The next prime is 42749071. The reversal of 42749070 is 7094724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42749071) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 17992 + ... + 20228.

It is an arithmetic number, because the mean of its divisors is an integer number (1339443).

Almost surely, 242749070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42749070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64293264).

42749070 is an abundant number, since it is smaller than the sum of its proper divisors (85837458).

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

42749070 is a wasteful number, since it uses less digits than its factorization.

42749070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 42749070 is about 6538.2772960467. The cubic root of 42749070 is about 349.6569972978.

The spelling of 42749070 in words is "forty-two million, seven hundred forty-nine thousand, seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 182 195 210 245 273 294 390 455 490 546 637 735 910 1274 1365 1470 1911 2237 2730 3185 3822 4474 6370 6711 9555 11185 13422 15659 19110 22370 29081 31318 33555 46977 58162 67110 78295 87243 93954 109613 145405 156590 174486 203567 219226 234885 290810 328839 407134 436215 469770 548065 610701 657678 872430 1017835 1096130 1221402 1424969 1644195 2035670 2849938 3053505 3288390 4274907 6107010 7124845 8549814 14249690 21374535 42749070