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424949805 = 325724392
BaseRepresentation
bin11001010101000…
…011100000101101
31002121121200112200
4121111003200231
51332241343210
6110100052113
713350004500
oct3125034055
91077550480
10424949805
111a8967095
12ba394039
136a0689b7
144061b137
15274910c0
hex1954382d

424949805 has 54 divisors (see below), whose sum is σ = 858793806. Its totient is φ = 193820256.

The previous prime is 424949783. The next prime is 424949807. The reversal of 424949805 is 508949424.

It can be written as a sum of positive squares in only one way, i.e., 339959844 + 84989961 = 18438^2 + 9219^2 .

It is not a de Polignac number, because 424949805 - 27 = 424949677 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424949807) 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 53 ways as a sum of consecutive naturals, for example, 967776 + ... + 968214.

It is an arithmetic number, because the mean of its divisors is an integer number (15903589).

Almost surely, 2424949805 is an apocalyptic number.

424949805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

424949805 is an abundant number, since it is smaller than the sum of its proper divisors (433844001).

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

424949805 is an equidigital number, since it uses as much as digits as its factorization.

424949805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 424949805 is about 20614.3106845706. The cubic root of 424949805 is about 751.8176977410.

Multiplying 424949805 by its sum of digits (45), we get a square (19122741225 = 1382852).

424949805 divided by its sum of digits (45) gives a square (9443329 = 30732).

Multiplying 424949805 by its product of nonzero digits (414720), we get a square (176235183129600 = 132753602).

The spelling of 424949805 in words is "four hundred twenty-four million, nine hundred forty-nine thousand, eight hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 439 441 735 1317 2195 2205 3073 3951 6585 9219 15365 19755 21511 27657 46095 64533 107555 138285 192721 193599 322665 578163 963605 967995 1349047 1734489 2890815 4047141 6745235 8672445 9443329 12141423 20235705 28329987 47216645 60707115 84989961 141649935 424949805