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4109424 = 2431143181
BaseRepresentation
bin1111101011010001110000
321201210001220
433223101300
52023000144
6224025040
746633554
oct17532160
97653056
104109424
112357520
121462180
13b0b617
1478d864
15562919
hex3eb470

4109424 has 80 divisors (see below), whose sum is σ = 11915904. Its totient is φ = 1209600.

The previous prime is 4109423. The next prime is 4109429. The reversal of 4109424 is 4249014.

It is a super-2 number, since 2×41094242 = 33774731223552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4109394 and 4109403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4109423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22614 + ... + 22794.

Almost surely, 24109424 is an apocalyptic number.

4109424 is a gapful number since it is divisible by the number (44) 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 4109424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957952).

4109424 is an abundant number, since it is smaller than the sum of its proper divisors (7806480).

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

4109424 is a wasteful number, since it uses less digits than its factorization.

4109424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4109424 is about 2027.1714283701. The cubic root of 4109424 is about 160.1746010628.

The spelling of 4109424 in words is "four million, one hundred nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 181 258 264 344 362 473 516 528 543 688 724 946 1032 1086 1419 1448 1892 1991 2064 2172 2838 2896 3784 3982 4344 5676 5973 7568 7783 7964 8688 11352 11946 15566 15928 22704 23349 23892 31132 31856 46698 47784 62264 85613 93396 95568 124528 171226 186792 256839 342452 373584 513678 684904 1027356 1369808 2054712 4109424