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4097844 = 2233191997
BaseRepresentation
bin1111101000011100110100
321201012012000
433220130310
52022112334
6223455300
746555032
oct17503464
97635160
104097844
112349853
121457530
13b0627a
14789552
1555e299
hex3e8734

4097844 has 48 divisors (see below), whose sum is σ = 11188800. Its totient is φ = 1293408.

The previous prime is 4097843. The next prime is 4097869. The reversal of 4097844 is 4487904.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4097799 and 4097808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4097843) 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, 1054 + ... + 3050.

It is an arithmetic number, because the mean of its divisors is an integer number (233100).

Almost surely, 24097844 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 4097844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594400).

4097844 is an abundant number, since it is smaller than the sum of its proper divisors (7090956).

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

4097844 is a wasteful number, since it uses less digits than its factorization.

4097844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4097844 is about 2024.3132168713. The cubic root of 4097844 is about 160.0240068144.

The spelling of 4097844 in words is "four million, ninety-seven thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 1997 2052 3994 5991 7988 11982 17973 23964 35946 37943 53919 71892 75886 107838 113829 151772 215676 227658 341487 455316 682974 1024461 1365948 2048922 4097844