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38488000 = 265317283
BaseRepresentation
bin1001001011010…
…0011111000000
32200102101121111
42102310133000
534323104000
63452533104
7645066625
oct222643700
980371544
1038488000
111a7a8671
1210a81194
137c87585
14517c34c
1535a3cba
hex24b47c0

38488000 has 112 divisors (see below), whose sum is σ = 101278944. Its totient is φ = 14438400.

The previous prime is 38487997. The next prime is 38488027. The reversal of 38488000 is 88483.

It is a super-2 number, since 2×384880002 = 2962652288000000, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 135859 + ... + 136141.

Almost surely, 238488000 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 38488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50639472).

38488000 is an abundant number, since it is smaller than the sum of its proper divisors (62790944).

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

38488000 is a wasteful number, since it uses less digits than its factorization.

38488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 38488000 is about 6203.8697600772. The cubic root of 38488000 is about 337.6305850415.

The spelling of 38488000 in words is "thirty-eight million, four hundred eighty-eight thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 136 160 170 200 250 272 283 320 340 400 425 500 544 566 680 800 850 1000 1088 1132 1360 1415 1600 1700 2000 2125 2264 2720 2830 3400 4000 4250 4528 4811 5440 5660 6800 7075 8000 8500 9056 9622 11320 13600 14150 17000 18112 19244 22640 24055 27200 28300 34000 35375 38488 45280 48110 56600 68000 70750 76976 90560 96220 113200 120275 136000 141500 153952 192440 226400 240550 283000 307904 384880 452800 481100 566000 601375 769760 962200 1132000 1202750 1539520 1924400 2264000 2405500 3848800 4811000 7697600 9622000 19244000 38488000