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424019148 = 223724767229
BaseRepresentation
bin11001010001100…
…000010011001100
31002112212101220220
4121101200103030
51332022103043
6110024111340
713336050300
oct3121402314
91075771826
10424019148
111a8390953
12ba005550
1369b01207
1440457d00
152735a483
hex194604cc

424019148 has 144 divisors (see below), whose sum is σ = 1198149120. Its totient is φ = 116290944.

The previous prime is 424019137. The next prime is 424019153. The reversal of 424019148 is 841910424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1851498 + ... + 1851726.

It is an arithmetic number, because the mean of its divisors is an integer number (8320480).

Almost surely, 2424019148 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 424019148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599074560).

424019148 is an abundant number, since it is smaller than the sum of its proper divisors (774129972).

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

424019148 is a wasteful number, since it uses less digits than its factorization.

424019148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 424019148 is about 20591.7252312670. The cubic root of 424019148 is about 751.2684596928.

The spelling of 424019148 in words is "four hundred twenty-four million, nineteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 49 67 84 94 98 134 141 147 188 196 201 229 268 282 294 329 402 458 469 564 588 658 687 804 916 938 987 1316 1374 1407 1603 1876 1974 2303 2748 2814 3149 3206 3283 3948 4606 4809 5628 6298 6412 6566 6909 9212 9447 9618 9849 10763 11221 12596 13132 13818 15343 18894 19236 19698 21526 22043 22442 27636 30686 32289 33663 37788 39396 43052 44086 44884 46029 61372 64578 66129 67326 75341 88172 92058 107401 129156 132258 134652 150682 154301 184116 214802 226023 264516 301364 308602 322203 429604 452046 462903 527387 617204 644406 721121 751807 904092 925806 1054774 1288812 1442242 1503614 1582161 1851612 2109548 2163363 2255421 2884484 3007228 3164322 4326726 4510842 5047847 6328644 8653452 9021684 10095694 15143541 20191388 30287082 35334929 60574164 70669858 106004787 141339716 212009574 424019148