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38426880 = 283510007
BaseRepresentation
bin1001001010010…
…1100100000000
32200022021202210
42102211210000
534314130010
63451342120
7644423502
oct222454400
980267683
1038426880
111a766758
1210a51940
137c657cb
145163d72
153590b20
hex24a5900

38426880 has 72 divisors (see below), whose sum is σ = 122738112. Its totient is φ = 10246144.

The previous prime is 38426863. The next prime is 38426903. The reversal of 38426880 is 8862483.

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, 1164 + ... + 8843.

It is an arithmetic number, because the mean of its divisors is an integer number (1704696).

Almost surely, 238426880 is an apocalyptic number.

38426880 is a gapful number since it is divisible by the number (30) 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 38426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61369056).

38426880 is an abundant number, since it is smaller than the sum of its proper divisors (84311232).

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

38426880 is a wasteful number, since it uses less digits than its factorization.

38426880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10031 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 38426880 is about 6198.9418451862. The cubic root of 38426880 is about 337.4517681418.

The spelling of 38426880 in words is "thirty-eight million, four hundred twenty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 10007 20014 30021 40028 50035 60042 80056 100070 120084 150105 160112 200140 240168 300210 320224 400280 480336 600420 640448 800560 960672 1200840 1280896 1601120 1921344 2401680 2561792 3202240 3842688 4803360 6404480 7685376 9606720 12808960 19213440 38426880