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42977385 = 345112877
BaseRepresentation
bin1010001111110…
…0100001101001
32222212110220000
42203330201221
542000234020
64133053213
71031205333
oct243744151
988773800
1042977385
1122294600
1212487209
138b99b09
1459ca453
153b8e090
hex28fc869

42977385 has 60 divisors (see below), whose sum is σ = 84777924. Its totient is φ = 20813760.

The previous prime is 42977383. The next prime is 42977393. The reversal of 42977385 is 58377924.

42977385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 26501904 + 16475481 = 5148^2 + 4059^2 .

It is not a de Polignac number, because 42977385 - 21 = 42977383 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 42977385.

It is not an unprimeable number, because it can be changed into a prime (42977383) 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 59 ways as a sum of consecutive naturals, for example, 48567 + ... + 49443.

Almost surely, 242977385 is an apocalyptic number.

42977385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42977385 is a deficient number, since it is larger than the sum of its proper divisors (41800539).

42977385 is a wasteful number, since it uses less digits than its factorization.

42977385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 896 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 42977385 is about 6555.7139199327. The cubic root of 42977385 is about 350.2783771698.

The spelling of 42977385 in words is "forty-two million, nine hundred seventy-seven thousand, three hundred eighty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 121 135 165 297 363 405 495 605 877 891 1089 1485 1815 2631 3267 4385 4455 5445 7893 9647 9801 13155 16335 23679 28941 39465 48235 49005 71037 86823 106117 118395 144705 260469 318351 355185 434115 530585 781407 955053 1302345 1591755 2865159 3907035 4775265 8595477 14325795 42977385