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42765750 = 2325383229
BaseRepresentation
bin1010001100100…
…0110110110110
32222110201120200
42203020312312
541422001000
64124341330
71026334326
oct243106666
988421520
1042765750
112215a5a5
12123a4846
138b246a1
145973286
153b4b500
hex28c8db6

42765750 has 96 divisors (see below), whose sum is σ = 117542880. Its totient is φ = 11217600.

The previous prime is 42765743. The next prime is 42765769. The reversal of 42765750 is 5756724.

42765750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186636 + ... + 186864.

It is an arithmetic number, because the mean of its divisors is an integer number (1224405).

Almost surely, 242765750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42765750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58771440).

42765750 is an abundant number, since it is smaller than the sum of its proper divisors (74777130).

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

42765750 is a wasteful number, since it uses less digits than its factorization.

42765750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 42765750 is about 6539.5527369997. The cubic root of 42765750 is about 349.7024682311.

The spelling of 42765750 in words is "forty-two million, seven hundred sixty-five thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 83 90 125 150 166 225 229 249 250 375 415 450 458 498 687 747 750 830 1125 1145 1245 1374 1494 2061 2075 2250 2290 2490 3435 3735 4122 4150 5725 6225 6870 7470 10305 10375 11450 12450 17175 18675 19007 20610 20750 28625 31125 34350 37350 38014 51525 57021 57250 62250 85875 93375 95035 103050 114042 171063 171750 186750 190070 257625 285105 342126 475175 515250 570210 855315 950350 1425525 1710630 2375875 2851050 4276575 4751750 7127625 8553150 14255250 21382875 42765750