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424820064 = 25311713779
BaseRepresentation
bin11001010100100…
…011110101100000
31002121101002120110
4121110203311200
51332223220224
6110053211320
713345624314
oct3124436540
91077332513
10424820064
111a8888669
12ba330b40
136a021926
14405c5b44
1527467929
hex19523d60

424820064 has 48 divisors (see below), whose sum is σ = 1116400320. Its totient is φ = 141448320.

The previous prime is 424820041. The next prime is 424820087. The reversal of 424820064 is 460028424.

It is an interprime number because it is at equal distance from previous prime (424820041) and next prime (424820087).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 110527 + ... + 114305.

It is an arithmetic number, because the mean of its divisors is an integer number (23258340).

Almost surely, 2424820064 is an apocalyptic number.

It is an amenable number.

424820064 is an abundant number, since it is smaller than the sum of its proper divisors (691580256).

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

424820064 is a wasteful number, since it uses less digits than its factorization.

424820064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4963 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 424820064 is about 20611.1635770521. The cubic root of 424820064 is about 751.7411777165.

Adding to 424820064 its reverse (460028424), we get a palindrome (884848488).

The spelling of 424820064 in words is "four hundred twenty-four million, eight hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1171 2342 3513 3779 4684 7026 7558 9368 11337 14052 15116 18736 22674 28104 30232 37472 45348 56208 60464 90696 112416 120928 181392 362784 4425209 8850418 13275627 17700836 26551254 35401672 53102508 70803344 106205016 141606688 212410032 424820064