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38479920 = 2435236971
BaseRepresentation
bin1001001011001…
…0100000110000
32200101222112020
42102302200300
534322324140
63452431440
7645034233
oct222624060
980358466
1038479920
111a7a2596
1210a78580
137c839ab
14517941a
1535a16d0
hex24b2830

38479920 has 80 divisors (see below), whose sum is σ = 124492032. Its totient is φ = 9813760.

The previous prime is 38479919. The next prime is 38479927. The reversal of 38479920 is 2997483.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38479927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2035 + ... + 9005.

Almost surely, 238479920 is an apocalyptic number.

38479920 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 38479920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62246016).

38479920 is an abundant number, since it is smaller than the sum of its proper divisors (86012112).

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

38479920 is a wasteful number, since it uses less digits than its factorization.

38479920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7010 (or 7004 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 38479920 is about 6203.2185194462. The cubic root of 38479920 is about 337.6069564988.

The spelling of 38479920 in words is "thirty-eight million, four hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 6971 13942 20913 27884 34855 41826 55768 69710 83652 104565 111536 139420 160333 167304 209130 278840 320666 334608 418260 480999 557680 641332 801665 836520 961998 1282664 1603330 1673040 1923996 2404995 2565328 3206660 3847992 4809990 6413320 7695984 9619980 12826640 19239960 38479920