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424005024 = 25317733559
BaseRepresentation
bin11001010001011…
…100110110100000
31002112211200112210
4121101130312200
51332021130044
6110023522120
713335661152
oct3121346640
91075750483
10424005024
111a8381283
12b9bb9340
1369ac7961
1440452ad2
15273561b9
hex1945cda0

424005024 has 96 divisors (see below), whose sum is σ = 1194963840. Its totient is φ = 131162112.

The previous prime is 424005017. The next prime is 424005031. The reversal of 424005024 is 420500424.

It is an interprime number because it is at equal distance from previous prime (424005017) and next prime (424005031).

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 117357 + ... + 120915.

It is an arithmetic number, because the mean of its divisors is an integer number (12447540).

Almost surely, 2424005024 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 424005024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597481920).

424005024 is an abundant number, since it is smaller than the sum of its proper divisors (770958816).

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

424005024 is a wasteful number, since it uses less digits than its factorization.

424005024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 424005024 is about 20591.3822751169. The cubic root of 424005024 is about 751.2601180620.

Adding to 424005024 its reverse (420500424), we get a palindrome (844505448).

The spelling of 424005024 in words is "four hundred twenty-four million, five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 73 96 102 136 146 204 219 272 292 408 438 544 584 816 876 1168 1241 1632 1752 2336 2482 3504 3559 3723 4964 7008 7118 7446 9928 10677 14236 14892 19856 21354 28472 29784 39712 42708 56944 59568 60503 85416 113888 119136 121006 170832 181509 242012 259807 341664 363018 484024 519614 726036 779421 968048 1039228 1452072 1558842 1936096 2078456 2904144 3117684 4156912 4416719 5808288 6235368 8313824 8833438 12470736 13250157 17666876 24941472 26500314 35333752 53000628 70667504 106001256 141335008 212002512 424005024