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424717104 = 24372359503
BaseRepresentation
bin11001010100001…
…010101100110000
31002121011212100010
4121110022230300
51332211421404
6110051054520
713345015200
oct3124125460
91077155303
10424717104
111a8818279
12ba2a1440
1369cb6ac6
144059a400
1527447189
hex1950ab30

424717104 has 120 divisors (see below), whose sum is σ = 1282417920. Its totient is φ = 120769152.

The previous prime is 424717099. The next prime is 424717129. The reversal of 424717104 is 401717424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 844117 + ... + 844619.

It is an arithmetic number, because the mean of its divisors is an integer number (10686816).

Almost surely, 2424717104 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 424717104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641208960).

424717104 is an abundant number, since it is smaller than the sum of its proper divisors (857700816).

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

424717104 is a wasteful number, since it uses less digits than its factorization.

424717104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 424717104 is about 20608.6657501159. The cubic root of 424717104 is about 751.6804417862.

The spelling of 424717104 in words is "four hundred twenty-four million, seven hundred seventeen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 359 392 503 588 718 784 1006 1077 1176 1436 1509 2012 2154 2352 2513 2872 3018 3521 4024 4308 5026 5744 6036 7042 7539 8048 8616 10052 10563 12072 14084 15078 17232 17591 20104 21126 24144 24647 28168 30156 35182 40208 42252 49294 52773 56336 60312 70364 73941 84504 98588 105546 120624 140728 147882 169008 180577 197176 211092 281456 295764 361154 394352 422184 541731 591528 722308 844368 1083462 1183056 1264039 1444616 2166924 2528078 2889232 3792117 4333848 5056156 7584234 8667696 8848273 10112312 15168468 17696546 20224624 26544819 30336936 35393092 53089638 60673872 70786184 106179276 141572368 212358552 424717104