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38826240 = 283510111
BaseRepresentation
bin1001010000011…
…1000100000000
32201001120120220
42110013010000
534414414430
63504103040
7651006015
oct224070400
981046526
1038826240
111aa09802
1211004a80
13807550b
14522970c
15361e110
hex2507100

38826240 has 72 divisors (see below), whose sum is σ = 124013568. Its totient is φ = 10352640.

The previous prime is 38826239. The next prime is 38826247. The reversal of 38826240 is 4262883.

It is not an unprimeable number, because it can be changed into a prime (38826247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1216 + ... + 8895.

Almost surely, 238826240 is an apocalyptic number.

38826240 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 38826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62006784).

38826240 is an abundant number, since it is smaller than the sum of its proper divisors (85187328).

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

38826240 is a wasteful number, since it uses less digits than its factorization.

38826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10135 (or 10121 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 38826240 is about 6231.0705340254. The cubic root of 38826240 is about 338.6167561006.

The spelling of 38826240 in words is "thirty-eight million, eight hundred twenty-six thousand, two hundred forty".

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 10111 20222 30333 40444 50555 60666 80888 101110 121332 151665 161776 202220 242664 303330 323552 404440 485328 606660 647104 808880 970656 1213320 1294208 1617760 1941312 2426640 2588416 3235520 3882624 4853280 6471040 7765248 9706560 12942080 19413120 38826240