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38243840 = 29514939
BaseRepresentation
bin1001000111100…
…0111000000000
32122221222200112
42101320320000
534242300330
63443410452
7643032035
oct221707000
978858615
1038243840
111a651188
1210983a28
137c003bb
14511738c
153556795
hex2478e00

38243840 has 40 divisors (see below), whose sum is σ = 91701720. Its totient is φ = 15296512.

The previous prime is 38243783. The next prime is 38243851. The reversal of 38243840 is 4834283.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 38243797 and 38243806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4910 + ... + 10029.

It is an arithmetic number, because the mean of its divisors is an integer number (2292543).

Almost surely, 238243840 is an apocalyptic number.

It is an amenable number.

38243840 is an abundant number, since it is smaller than the sum of its proper divisors (53457880).

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

38243840 is an equidigital number, since it uses as much as digits as its factorization.

38243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14962 (or 14946 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 38243840 is about 6184.1604118910. The cubic root of 38243840 is about 336.9151168488.

It can be divided in two parts, 38243 and 840, that multiplied together give a triangular number (32124120 = T8015).

The spelling of 38243840 in words is "thirty-eight million, two hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 14939 29878 59756 74695 119512 149390 239024 298780 478048 597560 956096 1195120 1912192 2390240 3824384 4780480 7648768 9560960 19121920 38243840