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38775840 = 253580783
BaseRepresentation
bin1001001111101…
…0110000100000
32200222000110020
42103322300200
534411311330
63503033440
7650406045
oct223726040
980860406
1038775840
111a984954
1210b9b880
1380585ac
1452151cc
15360e210
hex24fac20

38775840 has 48 divisors (see below), whose sum is σ = 122145408. Its totient is φ = 10340096.

The previous prime is 38775833. The next prime is 38775853. The reversal of 38775840 is 4857783.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 38775792 and 38775801.

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, 39912 + ... + 40871.

It is an arithmetic number, because the mean of its divisors is an integer number (2544696).

Almost surely, 238775840 is an apocalyptic number.

38775840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38775840 is an abundant number, since it is smaller than the sum of its proper divisors (83369568).

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

38775840 is a wasteful number, since it uses less digits than its factorization.

38775840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80801 (or 80793 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 38775840 is about 6227.0249718465. The cubic root of 38775840 is about 338.4701741810.

The spelling of 38775840 in words is "thirty-eight million, seven hundred seventy-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 80783 161566 242349 323132 403915 484698 646264 807830 969396 1211745 1292528 1615660 1938792 2423490 2585056 3231320 3877584 4846980 6462640 7755168 9693960 12925280 19387920 38775840