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42464385 = 3351718503
BaseRepresentation
bin1010000111111…
…1010010000001
32221220102012000
42201333102001
541332330020
64114054213
71023640605
oct241772201
987812160
1042464385
1121a74137
121227a369
138a4a472
1458d5505
153adc090
hex287f481

42464385 has 32 divisors (see below), whose sum is σ = 79937280. Its totient is φ = 21314304.

The previous prime is 42464347. The next prime is 42464413. The reversal of 42464385 is 58346424.

42464385 is a `hidden beast` number, since 4 + 2 + 4 + 643 + 8 + 5 = 666.

It is not a de Polignac number, because 42464385 - 29 = 42463873 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6957 + ... + 11546.

It is an arithmetic number, because the mean of its divisors is an integer number (2498040).

Almost surely, 242464385 is an apocalyptic number.

42464385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42464385 is a deficient number, since it is larger than the sum of its proper divisors (37472895).

42464385 is a wasteful number, since it uses less digits than its factorization.

42464385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18534 (or 18528 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 42464385 is about 6516.4702868961. The cubic root of 42464385 is about 348.8790943055.

It can be divided in two parts, 42464 and 385, that added together give a square (42849 = 2072).

The spelling of 42464385 in words is "forty-two million, four hundred sixty-four thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 255 459 765 2295 18503 55509 92515 166527 277545 314551 499581 832635 943653 1572755 2497905 2830959 4718265 8492877 14154795 42464385