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42765975 = 345272431
BaseRepresentation
bin1010001100100…
…0111010010111
32222110201220000
42203020322113
541422002400
64124342343
71026335100
oct243107227
988421800
1042765975
112215a78a
12123a49b3
138b24815
1459733a7
153b4b600
hex28c8e97

42765975 has 90 divisors (see below), whose sum is σ = 92364624. Its totient is φ = 19504800.

The previous prime is 42765971. The next prime is 42765977. The reversal of 42765975 is 57956724.

42765975 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42765975 - 22 = 42765971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 42765975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42765971) by changing a digit.

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 89 ways as a sum of consecutive naturals, for example, 99010 + ... + 99440.

Almost surely, 242765975 is an apocalyptic number.

42765975 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42765975 is an abundant number, since it is smaller than the sum of its proper divisors (49598649).

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

42765975 is a wasteful number, since it uses less digits than its factorization.

42765975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 446 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 42765975 is about 6539.5699399884. The cubic root of 42765975 is about 349.7030815172.

The spelling of 42765975 in words is "forty-two million, seven hundred sixty-five thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 135 147 175 189 225 245 315 405 431 441 525 567 675 735 945 1225 1293 1323 1575 2025 2155 2205 2835 3017 3675 3879 3969 4725 6465 6615 9051 10775 11025 11637 14175 15085 19395 19845 21119 27153 32325 33075 34911 45255 58185 63357 75425 81459 96975 99225 105595 135765 174555 190071 226275 244377 290925 316785 407295 527975 570213 678825 872775 950355 1221885 1583925 1710639 2036475 2851065 4751775 6109425 8553195 14255325 42765975