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424039040 = 2752328807
BaseRepresentation
bin11001010001100…
…101001010000000
31002112220102012122
4121101211022000
51332023222130
6110024343412
713336162265
oct3121451200
91075812178
10424039040
111a83a4897
12ba014b68
1369b0a299
144046126c
15273612e5
hex19465280

424039040 has 64 divisors (see below), whose sum is σ = 1057829760. Its totient is φ = 162235392.

The previous prime is 424039037. The next prime is 424039067. The reversal of 424039040 is 40930424.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317 + ... + 29123.

It is an arithmetic number, because the mean of its divisors is an integer number (16528590).

Almost surely, 2424039040 is an apocalyptic number.

424039040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528914880).

424039040 is an abundant number, since it is smaller than the sum of its proper divisors (633790720).

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

424039040 is a wasteful number, since it uses less digits than its factorization.

424039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28849 (or 28837 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 424039040 is about 20592.2082351554. The cubic root of 424039040 is about 751.2802075888.

Adding to 424039040 its reverse (40930424), we get a palindrome (464969464).

The spelling of 424039040 in words is "four hundred twenty-four million, thirty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 7360 14720 28807 57614 115228 144035 230456 288070 460912 576140 662561 921824 1152280 1325122 1843648 2304560 2650244 3312805 3687296 4609120 5300488 6625610 9218240 10600976 13251220 18436480 21201952 26502440 42403904 53004880 84807808 106009760 212019520 424039040