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495381432 = 233713226823
BaseRepresentation
bin11101100001101…
…110101110111000
31021112010222120110
4131201232232320
52003304201212
6121053424320
715163446510
oct3541565670
91245128513
10495381432
112346a2447
12119a9b0a0
137b828b10
1449b12840
152d754a3c
hex1d86ebb8

495381432 has 64 divisors (see below), whose sum is σ = 1524257280. Its totient is φ = 130649472.

The previous prime is 495381421. The next prime is 495381443. The reversal of 495381432 is 234183594.

It is an interprime number because it is at equal distance from previous prime (495381421) and next prime (495381443).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111228 + ... + 115595.

It is an arithmetic number, because the mean of its divisors is an integer number (23816520).

Almost surely, 2495381432 is an apocalyptic number.

495381432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

495381432 is an abundant number, since it is smaller than the sum of its proper divisors (1028875848).

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

495381432 is a wasteful number, since it uses less digits than its factorization.

495381432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226852 (or 226848 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 495381432 is about 22257.1658573144. The cubic root of 495381432 is about 791.2491225355.

The spelling of 495381432 in words is "four hundred ninety-five million, three hundred eighty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 226823 453646 680469 907292 1360938 1587761 1814584 2721876 2948699 3175522 4763283 5443752 5897398 6351044 8846097 9526566 11794796 12702088 17692194 19053132 20640893 23589592 35384388 38106264 41281786 61922679 70768776 82563572 123845358 165127144 247690716 495381432