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424280440 = 23529365759
BaseRepresentation
bin11001010010100…
…000000101111000
31002120100200100101
4121102200011320
51332103433230
6110033445144
713341216133
oct3122400570
91076320311
10424280440
111a854a1a1
12ba1107b4
1369b9311c
14404c521a
15273acaca
hex194a0178

424280440 has 32 divisors (see below), whose sum is σ = 987552000. Its totient is φ = 163859584.

The previous prime is 424280419. The next prime is 424280459. The reversal of 424280440 is 44082424.

It is a junction number, because it is equal to n+sod(n) for n = 424280399 and 424280408.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 181720 + ... + 184039.

It is an arithmetic number, because the mean of its divisors is an integer number (30861000).

Almost surely, 2424280440 is an apocalyptic number.

424280440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424280440 is an abundant number, since it is smaller than the sum of its proper divisors (563271560).

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

424280440 is a wasteful number, since it uses less digits than its factorization.

424280440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365799 (or 365795 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 424280440 is about 20598.0688415201. The cubic root of 424280440 is about 751.4227452805.

The spelling of 424280440 in words is "four hundred twenty-four million, two hundred eighty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 365759 731518 1463036 1828795 2926072 3657590 7315180 10607011 14630360 21214022 42428044 53035055 84856088 106070110 212140220 424280440