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424016772 = 223291737043
BaseRepresentation
bin11001010001011…
…111101110000100
31002112212021122220
4121101133232010
51332022014042
6110024052340
713336040334
oct3121375604
91075767586
10424016772
111a838a093
12ba0040b0
1369b000ca
14404570c4
15273598ec
hex1945fb84

424016772 has 48 divisors (see below), whose sum is σ = 1029551040. Its totient is φ = 135657088.

The previous prime is 424016759. The next prime is 424016783. The reversal of 424016772 is 277610424.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56683 + ... + 63725.

It is an arithmetic number, because the mean of its divisors is an integer number (21448980).

Almost surely, 2424016772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424016772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514775520).

424016772 is an abundant number, since it is smaller than the sum of its proper divisors (605534268).

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

424016772 is a wasteful number, since it uses less digits than its factorization.

424016772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7252 (or 7250 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 424016772 is about 20591.6675381087. The cubic root of 424016772 is about 751.2670564408.

It can be divided in two parts, 4240 and 16772, that added together give a palindrome (21012).

The spelling of 424016772 in words is "four hundred twenty-four million, sixteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 173 174 346 348 519 692 1038 2076 5017 7043 10034 14086 15051 20068 21129 28172 30102 42258 60204 84516 204247 408494 612741 816988 1218439 1225482 2436878 2450964 3655317 4873756 7310634 14621268 35334731 70669462 106004193 141338924 212008386 424016772